[Technical Field]
[0001] The present application relates to a roll state monitor device.
[Background]
[0002] Conventionally, for example, as described in
JP-A-63-040608, an apparatus for detecting and correcting eccentricity of rolls used in a rolling
apparatus is known. The device of claim 1 in the patent publication, for example,
includes: means for supplying the electrical pressure signal to a narrow band filter
having a bandwidth characteristic to pass a change in a signal at a frequency representing
the eccentricity of the rolls; means for receiving the filtered signal and generating
an electrical display signal based on the signal; and means for applying the electrical
display signal to a viewable display for subjecting an operator's consideration to
indicate the magnitude of the eccentricity of the roll. In the eccentricity alarm
device according to this publication, the display (reference numeral 50) is configured
to output an audible and/or visual alarm to the operator when the eccentricity exceeds
a predetermined value.
[0003] Further, conventionally, for example, as described in
Japanese Patent No. 5637637, a plate thickness control device configured to identify a roll eccentricity amount
is known. Identification techniques for an amount of roll eccentricity are described
in, for example, paragraphs 0016 and 0117 of this patent publication. For example,
the paragraph 0016 describes identifying the roll eccentricity amount of the upper
and lower backup rolls, and calculating a work roll gap command value between the
upper work roll and the lower work roll based on the identified roll eccentricity
amount.
[Citation List]
[Patent Literature]
[Summary]
[Technical Problem]
[0005] In general, rolling force of the roll is acquired from an output signal of a rolling
force sensor. Abnormal sensor output signals may be transmitted due to noise, etc.
If it is done based on one rolling force detection value to calculate one identification
value or to perform one roll state determination, a large amount of accuracy deterioration
occurs when one abnormal value is mixed therein. As a result, the abnormal value mixed
therein causes a problem of a large amount of deterioration in identification accuracy
of a roll eccentricity amount or a large amount of deterioration in determination
accuracy of a roll state.
[0006] For example,
JP-A-63-040608 described above teaches two determination techniques relating to a roll eccentricity
amount. The first technique is a determination method in which an operator examines
size of roll eccentricity by watching contents on a display. The second technique
is an eccentricity alarm device which gives an alarm when an eccentricity degree exceeds
a predetermined value. When using these techniques, a roll state may be determined
to be abnormal in a case where one abnormal value due to a noise signal causes a high
degree of eccentricity. In this case, an incorrect alarm is issued.
[0007] Further, the above-described
Japanese Patent No. 5637637 discloses merely a roll eccentricity amount identify technique described in paragraphs
0016 and 0117 and the like, at most. That is, in this publication, as described above,
it is not recognized that the abnormal value mixed therein causes a problem of identification
accuracy deterioration in the roll eccentricity amount. As described above, the prior
art has still left room for improving determination accuracy in a roll state.
[0008] The present application has been made in order to solve the problems as described
above, and an object thereof is to provide a roll state monitor device having improved
identification accuracy or improved determination accuracy of a roll state.
[Solution to problem]
[0009] A first roll state monitor device according to the present application includes:
rolling force detecting means; force variation value extracting means; and identification
means. When a rolled material is rolled between an upper roll set having at least
one roll and a lower roll set having at least one roll, the rolling force detecting
means is configured to detect rolling force of a monitored roll selected from the
upper roll set and the lower roll set. The force variation value extracting means
is configured to extract a rolling force variation value based on the rolling force
for each rotation position of the monitored roll. The identification means is configured
to identify a roll eccentricity amount of the monitored roll by acquiring a plurality
of accumulated values by accumulating separately for each rotation position of the
monitored roll a value which is one of the rolling force variation value and a roll
gap equivalent value calculated based on the rolling force variation value, and by
dividing each of the plurality of accumulated values by a correction coefficient corresponding
to a roll rotation amount which is number of times the monitored roll is rotated in
an accumulation period in which the plurality of accumulated values are acquired.
[0010] The correction coefficient is preferably a variable value which is set to be larger
as the number of times that the monitored roll is rotated in the accumulation period
of the plurality of accumulated values becomes larger. The correction coefficient
may be, for example, the same value as the number of times the monitored roll is rotated,
or the correction coefficient may be set less or more than the number of times the
monitored roll is rotated. The division correction based on the correction coefficient
can convert the accumulated value accumulated over a certain period into a value corresponding
to a rotation amount of the monitored roll.
[0011] In the first roll state monitor device, the identification means may be configured
so as to convert the rolling force variation value into the roll gap equivalent value
by using a roll gap conversion formula including a plastic coefficient of the rolled
material. To explain the reason, since there are a hard rolled material and a soft
rolled material according to steel type, it is preferable to distinguish the difference
in these hardness. A conversion formula including a plastic coefficient makes it possible
to accurately identify the roll eccentricity amount by setting each plastic coefficient
for each rolled material, which is preferable.
[0012] The monitored roll may have a first side end portion and a second side end portion
opposite to the first side end portion. The first side may be, for example, an operator
side (OS). The second side may be, for example, a drive side (DS). The rolling force
detecting means may be configured to detect first side rolling force of the first
side end portion while detecting second side rolling force of the second side end
portion. The force variation value extracting means may be configured to extract each
of a first side rolling force variation value and a second side rolling force variation
value. The first side rolling force variation value is a value of the first side rolling
force for each rotation position of the monitored roll. The second side rolling force
variation value is a value of the second side rolling force for each rotation position
of the monitored roll. The identification means may be configured to acquire the plurality
of accumulated values corresponding to the plurality of rotation positions based on
the first side rolling force variation value and the second side rolling force variation
value with respect to each of the first side end portion and the second side end portion
separately, and to identify each roll eccentricity amount of the first side end portion
and the second side end portion.
[0013] In the first roll state monitor device, identification means for identifying each
separate roll eccentricity amount for the first side end portion and the second side
end portion may be specifically configured as follows. The identification means may
acquire a plurality of first side accumulation values which are a plurality of accumulated
values corresponding to a plurality of rotation positions of the first side end portion
by accumulating separately one of a value of the first side rolling force variation
value and a first side roll gap equivalent value calculated based on the first side
rolling force variation value for each rotation position of the monitored roll. The
identification means may acquire a plurality of second side accumulation values which
are a plurality of accumulated values corresponding to a plurality of rotating positions
of the second side end portion by accumulating separately one of a value of the second
side rolling force variation value and a second side roll gap equivalent value calculated
based on the second side rolling force variation value for each rotating position
of the monitored roll. The identification means may identify the roll eccentricity
amount for each of the first side end portion and the second side end portion by dividing
each of the first side accumulation value and the second side accumulation value by
a correction coefficient corresponding to number of times the monitored roll is rotated.
[0014] The first roll state monitor device may further include roll state determining means.
The roll state determining means may determine a state of the monitored roll in the
second rolling period by collating the roll eccentricity amount calculated by the
identification means to a determination criterion. The determination criterion may
be a predetermined reference value which is determined in advance. The predetermined
reference value may be a fixed value, or may be a variable set value. The determination
criterion may be a "normal roll eccentricity representative value" generated by applying
a technique of a second roll state monitor device to be described later. The determination
criterion may be updated at any timing.
[0015] The second roll state monitor device according to the present application includes
rolling force detecting means, force variation value extracting means, identification
means, recording means, and roll state determining means. When a rolled material is
rolled between an upper roll set having at least one roll and a lower roll set having
at least one roll, the rolling force detecting means is configured to detect rolling
force of a monitored roll selected from the upper roll set and the lower roll set.
The force variation value extracting means is configured to extract a rolling force
variation value which is a value of each rolling force for each rotation position
of the monitored roll. The identification means is configured to identify a roll eccentricity
amount based on the rolling force variation value. The recording means records a plurality
of roll eccentricity amounts calculated from the identification means in accordance
with a plurality of rotation positions of the monitored roll in a first rolling period
which is determined in advance. The roll state determining means determines a state
of the monitored roll in a second rolling period which is after the first rolling
period, based on a normal roll eccentricity amount representative value which is a
representative value calculated from the plurality of the roll eccentricity amounts
calculated by the identification means in the first rolling period, and based on the
roll eccentricity amount calculated by the identification means in the second rolling
period.
[0016] In the second roll state monitor device, the "representative value" may be a known
value, referred to as a summary statistic. Known summary statistics are, for example,
averages, standard deviations, medians, ranges and mode values. The normal roll eccentricity
amount representative value may be either a normal roll eccentricity amount peak-to-peak
value, a normal roll eccentricity amount maximal average value, or a normal roll eccentricity
amount minimal average value.
[0017] The normal roll eccentricity amount peak-to-peak value is a difference between a
maximum value and a minimum value among a plurality of roll eccentricity amounts calculated
in a predetermined rolling period which is set in advance. This is also referred to
as a "range" which is a kind of summary statistic. A waveform acquired by arranging
in a time series the plurality of roll eccentricity amounts in the predetermined rolling
period may also be referred to as an "eccentricity amount data waveform". The normal
roll eccentricity amount maximal average value may be an average value of a plurality
of positive eccentricity amount peak values included in the eccentricity amount data
waveform. The normal roll eccentricity amount minimal average value may be an average
value of a plurality of negative eccentricity amount peak values included in the eccentricity
amount data waveform. The predetermined rolling period may be a period which is taken
by rolling process of a predetermined amount of the rolled material. Further, the
predetermined rolling period may be a period from the start of rolling process to
elapse of a predetermined time.
[0018] The first rolling period may be a time required to roll a single of the rolled material,
or may be a time required to roll a predetermined plural number of the rolled materials.
The first rolling period may be a predetermined time regardless of the number of the
rolled materials. The second rolling period may be the same length as the first rolling
period, or may be longer or shorter than the first rolling period.
[0019] In the second roll state monitor device, the roll state determining means may be
configured to determine the state of the monitored roll by comparing another representative
value of the roll eccentricity amount acquired in the second rolling period with a
multiplied value acquired by multiplying the normal roll eccentricity amount representative
value by a predetermined coefficient. The other representative value is the same type
of numerical value as the representative value calculated from the plurality of the
roll eccentricity amounts calculated by the identification means in the second rolling
period.
[0020] In the second roll state monitor device, the roll state determining means may be
configured to determine the state of the monitored roll based on a test result of
a statistical test method for a plurality of the roll eccentricity amounts. The statistical
test method may be selected from a variety of known test methods. The statistical
test method may be a chi-square test as an example. The roll state determining means
may determine the state of the monitored roll based on a plurality of the roll eccentricity
amounts according to an outlier detection method based on the Hotelling theory.
[0021] A third roll state monitor device according to the present application includes rolling
force detecting means, signal extracting means, and roll state determining means.
When a rolled material is rolled between an upper roll set having at least one roll
and a lower roll set having at least one roll, the rolling force detecting means is
configured to detect a rolling force signal detected in a monitored roll selected
from the upper roll set and the lower roll set. The signal extracting means extracts
from the rolling force signal a rolling force high frequency signal having a frequency
equal to or larger than a predetermined frequency which is set in advance. The roll
state determining means is configured to determine a state of the monitored roll based
on test results of a statistical test method for a plurality of rolling force values
included in the rolling force high frequency signal.
[0022] In the third roll state monitor device, the roll state determining means may calculate
a rolling force value probability density distribution based on the plurality of rolling
force values. Furthermore, the roll state determining means may be configured to determine
the state of the monitored roll based on comparison between the rolling force value
probability density distribution and a reference distribution which is set in advance.
Further, in the third roll state monitor device, the roll state determining means
may include normal distribution roll state determining means, or may include Rayleigh
distribution roll state determining means, or may be configured to include at least
one of these means. The normal distribution roll state determining means may calculate
a probability density distribution of the plurality of rolling force values as the
rolling force value probability density distribution, and may use a normal distribution
as the reference distribution. The Rayleigh distribution roll state determining means
may calculate, as the rolling force value probability density distribution, a maximal-minimal
probability density distribution which includes each probability density distribution
of a plurality of rolling force maximal values and a plurality of rolling force minimal
values included in the rolling force high frequency signal. The Rayleigh distribution
roll state determining means may use a Rayleigh distribution as the reference distribution.
When the roll state determining means includes both the normal distribution roll state
determining means and the Rayleigh distribution roll state determining means, the
monitored roll may be determined to be abnormal if at least one of determination results
thereof is abnormal.
[0023] In the third roll state monitor device, as an example, standard deviation σ of a
plurality of rolling force values may be calculated. A normal distribution may be
compared with a probability density distribution of ±kσ which is calculated by multiplying
a predetermined coefficient k and this standard deviation σ. The test result may be
a numerical value acquired by calculating difference between the probability density
distribution and the normal distribution. Alternatively, the test result may be a
numerical value acquired by calculating difference between the maximal-minimal probability
density distribution and a Rayleigh distribution. The calculated difference between
plural probability density distributions may be expressed as one value selected from
a group consisting of a Kullback-Leibler Divergence, an error sum of squares, and
an error absolute sum of values.
[0024] In the third roll state monitor device, the monitored roll may have a first side
end portion and a second side end portion opposite to the first side end portion.
The rolling force detecting means may be configured to detect a first side rolling
force signal from a first rolling force sensor provided on the first side end portion
and to detect a second side rolling force signal from a second rolling force sensor
provided on the second side end portion. The signal extracting means may extract each
rolling force high frequency signal having a frequency equal to or larger than the
predetermined frequency from the first side rolling force signal and the second side
rolling force signal. The roll state determining means may be configured to determine
each state of the first side end portion and the second side end portion of the monitored
roll based on the test result of the statistical test method for each rolling force
high frequency signal extracted by the signal extracting means.
[0025] In the third roll state monitor device, a roll state may be determined based on the
"each test result for each rolling stand" which is a test result of the statistical
test method for each of a plurality of rolling stands. In this case, in the third
roll state monitor device, the upper roll set may include a plurality of upper roll
sets which constitutes a plurality of rolling stands. The lower roll set may include
a plurality of lower roll sets which constitutes the plurality of rolling stands together
with each of the plurality of upper roll sets. The rolling force detecting means may
acquire a plurality of rolling force signals from each rolling force sensor provided
with each of the plurality of rolling stands. The signal extracting means may extract
from each of the plurality of rolling force signals a plurality of rolling force high
frequency signals each having a frequency equal to or larger than the predetermined
frequency. The roll state determining means may be configured to acquire each test
result for each rolling stand corresponding to the plurality of rolling stands as
the test result of the statistical test method for the plurality of rolling force
values included in each of the plurality of rolling force high frequency signals,
and to determine the state of the monitored roll based on each test result for each
rolling stand.
[0026] In the first to third roll state monitor devices, the "monitored roll" may include
at least one of an upper monitored roll and a lower monitored roll. The "upper monitored
roll" is one roll selected from the "upper roll set". The "lower monitored roll" is
one roll selected from the "upper roll set".
[0027] The upper roll set includes an upper work roll. In addition, the upper roll set may
include an upper backup roll and may include an upper intermediate roll. When the
upper roll set consists of only the upper work roll, the upper monitored roll is the
upper work roll. When the upper roll set consists of the upper work roll and the upper
backup roll, at least one of the upper work roll and the upper backup roll is selected
as the upper monitored roll. When the upper roll set consists of the upper work roll,
the upper backup roll, and the upper intermediate roll, at least one of the upper
work roll, the upper backup roll, and the upper intermediate roll is selected as the
upper monitored roll.
[0028] The lower roll set includes a lower work roll. In addition, the lower roll set may
include a lower backup roll and may include a lower intermediate roll. When the lower
roll set consists of only the lower work roll, the lower monitored roll is the lower
work roll. When the lower roll set consists of the lower work roll and the lower backup
roll, at least one of the lower work roll and the lower backup roll is selected as
the lower monitored roll. When the lower roll set consists of the lower work roll,
the lower backup roll, and the lower intermediate roll, at least one of the lower
work roll, the lower backup roll, and the lower intermediate roll is selected as the
lower monitored roll.
[0029] In the first to third roll state monitor devices, the monitored roll may include
both the upper monitored roll and the lower monitored roll. In this case, each roll
state determination of the upper monitored roll and the lower monitored roll may be
performed independently.
[0030] In the first roll state monitor device and the second roll state monitor device,
the rolling force detecting means may detect each of upper rolling force detected
in the upper monitored roll and lower rolling force detected in the lower monitored
roll by distributing an output signal from a rolling force sensor by a predetermined
ratio. The predetermined ratio may be 1:1, or may be a ratio other than this. Further,
in this case, the force variation value extracting means may extract an upper rolling
force variation value which is a value of the upper rolling force for each rotation
position of the upper monitored roll, and may extract a lower rolling force variation
value which is a value of the lower rolling force for each rotation position of the
lower monitored roll, and these extraction may be performed independently with each
other.
[Advantageous Effects]
[0031] According to the first roll state monitor device of the present application, the
accumulated value acquired by accumulating the rolling force or the roll gap equivalent
value is determined for each roll rotation position. By correcting each accumulated
value with the correction coefficient corresponding to the roll rotation amount, it
is possible to calculate the roll eccentricity amount for each roll rotation position.
This results in an advantage that accurate identification is possible since it is
possible to suppress the accuracy deterioration due to an abnormal value caused by
noise or the like as compared with a case where one identification value is calculated
from one rolling force detection value in a one-to-one relationship.
[0032] In the second roll state monitor device of the present application, the normal roll
eccentricity amount representative value is a value representative of a plurality
of roll eccentricity amounts which the identification means calculates when the monitored
roll is normal. The normal roll eccentricity amount representative value is used as
a determination criterion for roll state. The normal roll eccentricity amount representative
value is generated based on actual identification data acquired when the monitored
roll is normal in past rolling period. By using the normal roll eccentricity amount
representative value based on a plurality of roll eccentricity amounts, it is possible
to create an appropriate roll state determination criterion for each rolling plant
while suppressing influence of abnormal values. Thus, there is an advantage of improving
determination accuracy of the roll eccentricity amount.
[0033] According to the third roll state monitor device according to the present application,
it is possible to statistically determine whether or not a plurality of rolling force
values in the rolling force high frequency signal is within a range of normal value.
It is possible to accurately determine presence or absence of roll eccentricity abnormality
based on an overall tendency in roll state determination based on statistical test,
rather than roll state determination depending on a single or a small number of data
detection results. Thus, it is possible to monitor roll eccentricity abnormality with
high accuracy.
[Brief Description of Drawings]
[0034]
FIG. 1 is a diagram for explaining an example of a rolling mill which a roll state
monitor device according to a first embodiment is applied to;
FIG. 2 is a diagram for explaining configuration of the roll state monitor device
and an upper roll set and a lower roll set according to the first embodiment;
FIG. 3 is a diagram for explaining relationship between a work roll and a division
manner of a backup roll according to the first embodiment;
FIG. 4 is a diagram illustrating a state of variation of rolling force according to
the first embodiment;
FIG. 5 is a diagram for specifically explaining an extraction method of the rolling
force variation and an identification method of a roll eccentricity amount according
to the first embodiment, and device configuration thereof;
FIG. 6 is a flowchart for explaining a first roll state determination technique according
to the first embodiment;
FIG. 7 is a flowchart for explaining a second roll state determination technique according
to a modification of the first embodiment;
FIG. 8 is a flowchart for explaining the second roll state determination technique
according to a modification of the first embodiment;
FIG. 9 is a diagram illustrating transition of an actual roll eccentricity amount
according to the first embodiment;
FIG. 10 is a diagram illustrating a configuration of a roll state monitor device according
to a second modification of the first embodiment;
FIG. 11 is a diagram for specifically explaining a method of extracting rolling force
variation and of identifying a roll eccentricity amount according to a fifth modification
of the first embodiment, and a device configuration thereof;
FIG. 12 is a diagram illustrating an example of a rolling mill to which a roll state
monitor device according to the second embodiment is applied;
FIG. 13 is a diagram for explaining the roll state monitor device according to the
second embodiment and configuration of an upper roll set and a lower roll set;
FIG. 14 is a diagram for explaining a roll state determination technique according
to the second embodiment;
FIG. 15 is a graph for explaining a probability density distribution according to
the second embodiment;
FIG. 16 is a graph illustrating a probability density distribution according to the
second embodiment;
FIG. 17 is a graph illustrating a probability density distribution according to a
first modification of the second embodiment;
FIG. 18 is a graph illustrating a minimal value and a maximal value according to the
first modification of the second embodiment;
FIG. 19 is a diagram for explaining Kullback-Leibler Divergence according to the second
embodiment; and
FIG. 20 is a diagram illustrating an example of hardware configuration of the roll
state monitor device according to the first and second embodiments.
[Description of Embodiments]
First Embodiment.
[0035] FIG. 1 is a diagram illustrating an example of a rolling mill 50 which a roll state
monitor device 20 according to the first embodiment is applied to. The rolling mill
50 in FIG. 1 includes a heating furnace 52 for heating a slab 51, a roughing mill
53, a bar heater 54 for heating a bar 55, a finishing rolling mill 57, an entry pyrometer
56 disposed on an entry side of the finishing rolling mill 57, a strip thickness/width
meter 58 for measuring a strip thickness and a strip width, a delivery pyrometer 59
disposed on a delivery side of the finishing rolling mill 57, a run-out table 63,
a pyrometer 60, a coiler 61, and the roll state monitor device 20.
[0036] The pyrometer 60 is disposed on an entry side of the coiler 61. The coiler 61 forms
a product coil 62. FIG. 1 illustrates a rolling direction RD, an operator side OS,
and a drive side DS. The roll state monitor device 20 according to the first embodiment
is provided as one function included in a control device to control the rolling mill
50 for rolling a rolled material 1.
[0037] In the embodiment, the rolling mill 50 in hot sheet rolling process will be described
as a specific example. Although the first embodiment exemplarily illustrates the rolling
mill 50 including the roughing mill 53 having two stands and the finishing mill 57
having seven stands, this is an example.
[0038] In general, rolling mills can facilitate production of automobiles and electrical
products by rolling and thinning ingots of steel materials or non-ferrous materials
such as aluminum and copper. There are various types of rolling mills. Various types
of rolling mills include hot sheet rolling mills for rolling plate materials, cold
rolling mills, rolling mills for rolling bar wires, rolling mills such as H-shaped
steel, 12-Hi rolling mills and 20-Hi rolling mills for rolling hard materials such
as stainless steel, and the like. There are various types of rolls for each rolling
configuration. These various types of rolling mills may use the roll state monitor
device 20 according to the first embodiment. This is because various types of rolling
mills in practical use are often similar in configuration to each other although details
thereof are different.
[0039] The rolling mill 50 illustrated in FIG. 1 is provided with the roughing mill 53 havingtwo
stands and the finishing rolling mill 57 having seven stands. Furthermore, although
not shown, a large capacity electric motor is provided for driving the rolls on upper
side and lower side. Although not shown, shafts or the like to connect the rolls and
the motor are also provided.
[0040] The roughing mill 53 in FIG. 1 may have a total of four rolls of work rolls 3a, 3b
and backup rolls 4a, 4b having larger diameter than the work rolls 3a, 3b, or a total
of two rolls of work roll 3a, 3b . On the other hand, the finishing rolling mill 57
in FIG. 1 includes a first rolling stand #1 to a seventh rolling stand #7.
[0041] Each rolling stand of the finishing rolling mill 57 is a set of four rolls including
upper rolls and lower rolls. In other words, the work rolls 3a, 3b and the backup
rolls 4a, 4b are included. One or more intermediate rolls may be provided between
each work roll 3a, 3b and each backup roll 4a, 4b, and in this case one rolling stand
may have six or more rolls from the upper side to the lower side.
[0042] The roll state monitor device 20 according to the first embodiment monitors a roll
state in the finishing rolling mill 57. However, as a modification, the roll state
monitor device 20 may monitor a roll state of the roughing mill 53, or the roll state
monitor device 20 may monitor roll states of both the roughing mill 53 and the finishing
rolling mill 57.
[0043] The roll state monitor device 20 according to the first embodiment is configured
to monitor the state of the rolls, to detect an abnormality of the rolls so as to
inform the abnormality in advance. The roll state monitor device 20 can accurately
identify a roll eccentricity amount, and the identified roll eccentricity amount is
compared with a roll eccentricity amount in a normal state to determine abnormality.
The roll state monitor device 20 may include various types of notification means,
such as a display device or an alarm signal, for presenting determination results
of a roll state to an operator or the like.
[0044] FIG. 2 is a diagram for explaining a configuration of the roll state monitor device
20 and the upper roll set and the lower roll set according to the first embodiment.
FIG. 2 illustrates one rolling stand in the finishing rolling mill 57 according to
the first embodiment, and the roll state monitor device 20 connected thereto.
[0045] The configuration in FIG. 2 is included in each of the first rolling stand #1 to
seventh rolling stand #7 of the finishing rolling mill 57 in FIG. 1. As shown in FIG.
2, each rolling stand includes a housing 2, work rolls 3a, 3b, back-up rolls 4a, 4b,
screw down means 5, rolling force detecting means 6, a roll rotation amount detector
7, a roll reference position detector 8, and a roll gap detector 9.
[0046] As shown in FIG. 2, the work rolls 3a, 3b are an upper work roll 3a and a lower work
roll 3b. The backup rolls 4a, 4b are an upper backup roll 4a and a lower backup roll
4b. Oil bearings may be used as bearings for rotating the backup rolls 4a, 4b. The
screw down means 5 is a screw down device for acting the rolling force on the rolled
material 1. The rolling force detecting means 6 is an apparatus for detecting the
rolling force.
[0047] The roll rotation amount detector 7 detects a roll rotation amount. The roll rotation
amount here corresponds to number of times a roll is rotated. The roll rotation amount
detector 7 may be a counter in which "1" is added each time the roll is rotated once.
Incidentally, if the roll rotation amount detector 7 is a sensor for measuring roll
rotation speed (i.e. a roll rotation amount per unit time), the number of times the
roll is rotated at a constant time may be calculated by multiplying time length to
the roll rotation speed.
[0048] The roll reference position detector 8 detects a predetermined reference position
each time the backup rolls 4a, 4b are rotated once. The roll gap detector 9 detects
a gap between the work rolls 3a, 3b, i.e. a roll gap.
[0049] The upper roll set consists of the upper work roll 3a and the upper backup roll 4a.
On the other hand, the lower roll set consists of the lower work roll 3b and the lower
backup roll 4b.
[0050] In the first embodiment, as an example, the case of a 4Hi mill will now be described.
The 4Hi mill consists of four rolls of two upper/lower work rolls 3a, 3b and two upper/lower
backup rolls 4a, 4b. However, it is not limited to this configuration, and another
mill called 2Hi mill may be used. The 2Hi mill consists of only two rolls of top/bottom
work rolls. Alternatively, another mill called 6Hi mill may be used. The 6Hi mill
consists of six rolls: two upper/lower work rolls, two upper/lower intermediate rolls,
and two upper/lower backup rolls. Alternatively, another mill having more rolls may
be used.
[0051] The rolled material 1 is rolled by the work rolls 3a, 3b whose roll gaps and speeds
are appropriately adjusted so as to have a desired strip thickness at the delivery
side. The upper work roll 3a is supported from above by the upper backup roll 4a.
The lower work roll 3b is supported from below by the lower backup roll 4b. Thus,
the deflection in the roll width direction is reduced. The backup rolls 4a, 4b are
rotatably supported with respect to the rolling mill housing 2. Each backup roll 4a,
4b has a structure capable of sufficiently withstanding the rolling force which acts
on the rolled material 1.
[0052] The screw down means 5 adjusts the gap between the work rolls 3a, 3b, i.e. the roll
gap. The screw down means 5 may be an electric screw down device for electric motor
control or a hydraulic pressure screw down device for hydraulic control. Since the
hydraulic pressure screw down has an advantage of easily acquiring a high-speed response,
the screw down means 5 may be the hydraulic pressure screw down device.
[0053] In order to execute control in response to a wave component in a short period such
as disturbance due to roll eccentricity, it is generally preferable to use the hydraulic
pressure screw down capable of high-speed response. However, as a modification, the
screw down means 5 may be the electric pressure screw down device. Since the high
speed response in the screw down means is not relevant to roll state monitoring, the
roll state monitor device 20 may be applied to a rolling stand which does not have
the hydraulic screw down.
[0054] The rolling force detecting means 6 detects the rolling force, for example. One exemplary
method of detecting rolling force may be a method of directly measuring the rolling
force by a load cell embedded between the rolling mill housing 2 and the screw down
means 5. Another example of a detection method of rolling force may be a method of
calculating the rolling force from pressure detected by the hydraulic screw down means.
The rolling force detecting means 6 may be, for example, a load sensor or a pressure
sensor, specifically, a strain gauge or a load cell or a hydraulic sensor.
[0055] The roll rotation amount detector 7 detects a rotation amount of each work roll 3a,
3b or the like. The roll rotation amount detector 7 may be provided with the work
rolls 3a, 3b. The roll rotation amount detector 7 may be provided on a shaft (not
shown) of an electric motor for driving the work rolls 3a, 3b.
[0056] The roll rotation amount detector 7 may include, for example, pulse output means
for outputting a pulse corresponding to a rotation angle of each work roll 3a, 3b,
and angle calculating means for calculating the rotation angle of each work roll 3a,
3b by detecting the pulse outputted from the pulse output means. The roll rotation
amount detector 7 may be configured to be able to finely detect the roll rotation
amount and the rotation angle of each work roll 3a, 3b by using the pulse output means
and the angle calculating means.
[0057] Incidentally, when a ratio of each diameter of the work rolls 3a, 3b and each diameter
of the backup roll 4a, 4b is known, the rotational amounts and the rotational angles
of the backup rolls 4a, 4b may be calculated. Specifically, the rotation amounts and
the rotation angles of the backup rolls 4a, 4b may be calculated based on the rotation
amounts and the rotation angles of the work rolls 3a, 3b detected by the roll rotation
amount detector 7 in the case where there is no slip between the work rolls 3a, 3b
and the backup rolls 4a, 4b.
[0058] The roll reference position detector 8 detects a reference position in such a manner
that a sensor such as a proximity switch detects an object provided on each backup
roll 4a, 4b each time each backup roll 4a, 4b is rotated, for example. The roll reference
position detector 8 may detect the reference position by using a pulse generator in
such a manner that a pulse depending on the rotation angle of each backup roll 4a,
4b is taken out to detect the rotation angle of each backup roll 4a, 4b, for example.
[0059] Incidentally, FIG.2 illustrates a case where only the roll reference position detector
8 is provided on the upper back-up roll 4a. However, as a modification, the roll reference
position detector 8 may be provided on each backup roll 4a, 4b, and each reference
position of the backup rolls 4a, 4b may be detected individually.
[0060] The roll gap detector 9 is provided between the backup roll 4a and the screw down
means 5, as an example. The roll gap detector 9 indirectly detects the roll gap formed
between the work rolls 3a, 3b.
[0061] As shown in FIG. 2, the roll state monitor device 20 according to the first embodiment
includes a rolling force vertical distribution part 10, a rolling force variation
extracting part 11, a roll eccentricity amount identify part 12, a roll eccentricity
amount recording part 13, and a roll state determination part 14. The roll state monitor
device 20 determines the state of the monitored roll. In the first embodiment, as
an example, each of the backup rolls 4a, 4b is the monitored roll.
[0062] The rolling force detecting means 6 detects the rolling force for a plurality of
rotation positions of the work rolls 3a, 3b and the backup rolls 4a, 4b as described
later in FIGs. 3 and 4. The rolling force vertical distribution part 10 distributes
the rolling force detected by the rolling force detecting means 6 to an upper side
and a lower side based on a ratio of upper rolling force and lower rolling force.
A distribution ratio is preset. The upper rolling force is rolling force which is
given from the rolled material 1 to the upper roll set having the upper work roll
3a and the upper backup roll 4a. The lower rolling force is rolling force which is
given from the rolled material 1 to the lower roll set having the lower work roll
3b and the lower backup roll 4b. Incidentally, the upper rolling force and the lower
rolling force may be distributed in a ratio of 1:1, for example. However, in fact,
the lower rolling force also includes weight of the upper work roll and the upper
backup roll. As a result, as actual force, the lower rolling force is slightly larger
than the upper rolling force. Total roll weight of the work roll and the backup roll
is 30 to 40 tons, while the rolling force is several hundred to two thousand tons
or three thousand tons. Therefore, the lower rolling force is slightly larger than
the upper rolling force in a ratio therebetween, when considering the roll weight.
[0063] The rolling force variation extracting part 11 extracts an upper rolling force variation
value ΔP
Tj and a lower rolling force variation value ΔP
Bj based on each rolling force of the upper roll set and the lower roll set which is
distributed vertically by the rolling force vertical distribution part 10. The subscript
j is j=0, 1, 2...n-1. The upper rolling force variation value ΔP
Tj and the lower rolling force variation value ΔP
Bj are variation values that occur in relation to rotation positions of the upper roll
set and the lower roll set.
[0064] The roll eccentricity amount identify part 12 makes conversion into a roll gap equivalent
value ΔS from each of upper and lower variation components ΔP of each rolling force
separately extracted by the rolling force variation extracting part 11. The roll eccentricity
amount identify part 12 adds the converted roll gap equivalent value ΔS by a plurality
of adders 121d to 122d which are described later in FIG. 5. The reason for performing
conversion into the roll gap equivalent value ΔS is to prevent undesirable variation
in the rolling force variation value caused by the difference in characteristics of
the rolled material (e.g., hardness of the rolled material). This is because, for
example, rolling force fluctuation tends to increase in hard material.
[0065] In the rolling mill 50, the roll gap equivalent value ΔS is used to actually adjust
the roll gap, and thereby the strip thickness variation of the rolled material 1 can
be reduced. However, the roll state monitor device 20 in the first embodiment is not
provided with a function of adjusting the roll gap for reducing influence on the strip
thickness variation due to roll eccentricity. This results in that, in the first embodiment,
the adders 121d, 122d continuously add data throughout rolling process, and each data
in the adders 121d, 122d continues to increase as the roll rotation amount increases.
Therefore, in the first embodiment, each output value from the adders 121d, 122d is
corrected by dividing the output values by a correction coefficient corresponding
to the roll rotation amount in order to determine the roll eccentricity amount.
[0066] The roll eccentricity amount recording part 13 records a plurality of output values
y
Tj, y
Bj outputted from the roll eccentricity amount identify part 12. The subscript j is
j=0, 1, 2 ...n-1. Each of the output values y
Tj, y
Bj is an identified value of the roll eccentricity amount.
[0067] A roll eccentricity amount peak-to-peak value Δy
peak is calculated from recorded data in the roll eccentricity amount recording part 13.
The roll eccentricity peak-to-peak value Δy
peak is difference between a maximum value and a minimum value among the roll eccentricity
amounts identified by the roll eccentricity amount identification part 12.
[0068] The roll eccentricity amount recording part 13 records the roll eccentricity amount
peak-to-peak value Δy
peak identified by the roll eccentricity amount identification part 12 during a predetermined
rolling period which is set in advance, as a "normal roll eccentricity amount peak-to-peak
value Δy
nor_peak" The normal roll eccentricity peak-to-peak value Δy
nor_peak is a determination value which represents the roll eccentricity peak-to-peak value
Δy
peak when the monitored roll is normal.
[0069] Incidentally, the "predetermined rolling period" described above may be a period
from immediately after roll replacement to the elapse of a predetermined time which
is set in advance, or may be a period required for rolling a predetermined number
of the rolled material 1 immediately after the roll replacement. Every time rolling
process of the rolled material 1 is completed, each roll eccentricity amount peak-to-peak
value Δy
peak of each rolled material 1 is calculated. Each calculated roll eccentricity amount
peak-to-peak value Δy
peak is recorded as the roll eccentricity amount peak-to-peak value Δy
peak at a time when rolling process of each rolled material 1 is completed.
[0070] The roll eccentricity amount recording part 13 may be modified so that the roll eccentricity
amount peak-to-peak value Δy
peak is replaced with a roll eccentricity amount maximum value y
max (i.e. a peak value of positive side) or a roll eccentricity amount minimum value
y
min (i.e. a peak value of negative side). In this modification, the roll eccentricity
amount recording part 13 may record each of the roll eccentricity amount maximum value
y
max or the roll eccentricity amount minimum value y
min. In this case, the roll eccentricity amount recording part 13 records the roll eccentricity
amount maximum value y
max or the roll eccentricity amount minimum value y
min identified by the roll eccentricity amount identify part 12 during a predetermined
rolling period which is set in advance, as the roll eccentricity amount maximum value
y
max or the roll eccentricity amount minimum value y
min when the monitored roll is normal. The roll eccentricity maximum value y
max in a normal state of the roll is also referred to as a "normal roll eccentricity
maximum value y
nor_max". The roll eccentricity minimum value y
min in a normal state of the roll is also referred to as a "normal roll eccentricity
minimum value y
nor_mm".
[0071] It should be noted that the time period described above is a time period from immediately
after the roll replacement to the elapse of a certain time, or a time period from
immediately after the roll replacement to the completion of rolling process of a certain
number of rolled materials, and each time period is set as a time period necessary
for rolling the "predetermined number" of rolled materials. The predetermined number
is preferably set to a somewhat large number such as 5 or 10. The values of 5 or 10
will now be described. The work roll is periodically replaced when about one hundred
of the rolled materials 1 has been rolled. If the predetermined number described above
is set to 40 to 50, a very few number of the rolled materials 1 are used to determine
whether normal or abnormal, and this is not practical. Therefore, the predetermined
number described above, for example, may be preferably set about 10 pieces which is
within 10% of 100 pieces. In addition, a replacement cycle of the backup roll is several
days to ten days. Thousands of the rolled materials 1 will be rolled during this period.
Therefore, when the backup roll is set as the monitored roll, the predetermined number
can be set more than 5 to 10. The work roll directly contacts the rolled material,
and this causes near the center part in the width direction to be easily worn, resulting
in that it is necessary to frequently replace and polish the roll. Therefore, the
work roll is replaced in the above cycle. On the other hand, since the backup roll
does not directly contact the rolled material, replacement cycle thereof may be set
long. Further, there may be a premise that the roll is normal immediately after roll
polishing. This is because an abnormality can be easily found when a person looks
at the roll in the polishing process.
[0072] The roll state determination part 14 determines each state of the backup rolls 4a,
4b which are monitored rolls by using the recorded data in the roll eccentricity amount
recording part 13.
[0073] In the first embodiment, as an example, the roll state determining part 14 may perform
a comparison determination based on the data recorded in a predetermined time after
roll replacement. This comparison determination is achieved in a routine of FIG. 6
described later. Further, the roll state determination part 14 according to another
modification may determine normal/abnormal of the roll state based on a fixed value
or a statistical value determined from the data acquired in the past, rather than
based on the data recorded in the predetermined time after the roll replacement. This
modification is achieved in a routine of FIG. 7 described later. Specific method of
determination in the roll state determination part 14 will be described later with
reference to FIGs. 6 and 7.
[0074] Next, with reference to FIGs. 3 to 8, operation of the roll state monitor device
20 according to the first embodiment will be specifically described.
[0075] First, with reference to FIGs. 3 and 4, each configuration and operation of the rolling
force vertical distribution part 10 and the rolling force variation extracting part
11 is specifically described. FIG. 3 is a diagram for explaining the relation between
the work rolls 3a, 3b and division of the backup rolls 4a, 4b according to the first
embodiment. FIG. 3 illustrates positional relationships between the work rolls 3a,
3b and the backup rolls 4a, 4b. It should be noted that the backup roll may be abbreviated
as "BUR", the work roll may be abbreviated as "WR".
[0076] As shown in FIG. 3, each of the backup rolls 4a, 4b has a position scale 15 for detecting
the rotation position. Further, it is also illustrated that a reference position 4c
is preset in part of each backup roll 4a, 4b and the reference position 4c rotates
in conjunction with the rotation of each backup roll 4a, 4b. The position scale 15
is provided on each immediate outer side of the backup rolls 4a, 4b so as to surround
each periphery of the backup rolls 4a, 4b, for example. The scale is provided to divide
each entire circumference of the backup rolls 4a, 4b into 1st to nth portions equally.
That is, the scale is provided for each predetermined angle (i.e. each 360/n degrees)
around each rotational axis of the backup rolls 4a, 4b. Then, a reference position
15a (a fixed reference position) of the positional scale 15 is set to be "0", and
other positions are numbered from 1
st up to (n-1)
th. Incidentally, the "n" is set to be a value of about n=30 to 90, for example. Here,
the position scale 15 is provided for explaining the rolling force variation extracting
part 11 or the like, and the scale itself may be omitted in actual equipment.
[0077] Here, θ
WT0 is a rotational angle of the work roll 3 when each reference position 4c of the backup
rolls 4a, 4b matches the fixed reference position 15a. The θ
WT is a rotation angle of the work roll 3 after each of the backup rolls 4a, 4b is rotated
by θ
BT. Here, θ represents an angle, a subscript W represents the work roll 3, a subscript
B represents the backup roll 4, a subscript T represents the upper roll, and a subscript
B represents the lower roll.
[0078] In the following, each rotation angle of the backup rolls 4a, 4b is assumed to represent
an angle at which each reference position 4c of the backup rolls 4a, 4b moves in conjunction
with each rotation of the backup rolls 4a, 4b from the fixed reference position 15a.
For example, if each rotation angle of the backup rolls 4a, 4b is 90 degrees, each
reference position 4c of the backup rolls 4a, 4b is at a position rotated 90 degrees
from the fixed reference position 15a in each rotational direction of the backup rolls
4a, 4b. Further, it is assumed that, when each rotation angle of the backup rolls
4a, 4b is closest to a scale (e.g., a j
th scale) of the position scale 15, "j" is each rotation angle number of the backup
rolls 4a, 4b.
[0079] Incidentally, a sensor such as a proximity sensor and an object to be detected by
the sensor may be embedded at each reference position 4c and each fixed reference
position 15a of the backup rolls 4a, 4b, and thereby the roll reference position detector
8 is configured of the sensor and the object. In such a case, for example, the proximity
sensor provided at each reference position 4c of the backup rolls 4a, 4b is rotated
with the backup roll 4 and reaches the fixed reference position 15a, and thereby the
proximity sensor detects the object which is embedded in the reference position 15a.
That is, it is recognized that each reference position 4c of the backup rolls 4a,
4b has passed through the fixed reference position 15a. Incidentally, the roll reference
position detector 8 is not essential to the first embodiment.
[0080] Each division position from the fixed reference position 0
th to the position n-1
th is individually associated with each division of rolling force recording areas (P
0∼P
n-1 in FIG. 5) in FIG. 5 to be described later, and each rolling force at these division
positions is stored in each recording area. Typically, a value n = 30 to 90 or near
can be used. To set the value n as a large value, a controller preferably has sufficiently
high degree of arithmetic processing capability, and therefore it is preferable to
pay attention to contradiction relationship between fineness and arithmetic ability
of control.
[0081] Hereinafter, a backup roll rotation angle is assumed to represent an angle at which
a backup roll reference position moves in conjunction with each rotation of the backup
rolls 4a, 4b from a fixed reference position. For example, if the backup roll rotation
angle is 90 degrees, a backup roll reference position is at a position rotated 90
degrees from a fixed reference position in each rotational direction of the backup
rolls 4a, 4b. Further, it is assumed that, when the backup roll rotation angle is
closest to one scale (e.g., an i
th scale) of the position scale, "i" is a backup roll rotation angle number.
[0082] FIG. 4 is a diagram illustrating a state of variation of the rolling force according
to the first embodiment. Description will now be made about a method to extract variation
component in rolling force caused by roll eccentricity, with reference to FIG. 4.
[0083] FIG. 4 illustrates variation of the rolling force with change in the backup roll
rotation angle. In FIG. 4, the rolling force corresponds to P
10 when the reference position 4c of the backup roll 4 is at the reference position
14a, i.e., when the rotation angle number of the backup roll 4 is "0". As the rotation
angle number of the backup roll 4 advances 1, 2, 3..., the rolling force changes as
P
11, P
12, P
13... Then, the backup roll 4 is rotated one revolution, the rotation angle number becomes
0 again from (n-1).
[0084] If a straight line 103 is drawn to connect points of the rolling force P
10, P
20 when rolling force P
20 is taken, the straight line 103 may be regarded as rolling force in which the rolling
force variation due to roll eccentricity is excluded. Therefore, the rolling force
variation due to roll eccentricity may be determined from each difference between
the straight line 103 and each rolling force P
11, P
12, P
13...P
20 measured at each corresponding rotational angle number.
[0085] Incidentally, each value of rolling force P
ij actually measured (i.e. an actual value) often includes noise components in addition
to the rolling force variation due to the roll eccentricity and rolling force variation
due to temperature variation, strip thickness variation, or tension variation, etc.
Therefore, each actual value of the rolling force Pij is not distributed on a smooth
curve as shown in FIG. 4, and therefore it may be difficult to identify the rolling
force P
i0 of a starting point and the rolling force P(i+i)o of an end point for acquiring the
above straight line drawn therebetween.
[0086] Therefore, the following calculation may also be performed based on an average value.
First, it is assumed that difference between the rolling force P
i0 and the rolling force P(i+i)o is not large. Then, a difference amount ΔP
ij between each measured rolling force P
i0, P
i1, P
i2, P
i3...P
(i+1)0 and an average value ΔP
AVE_n may be regarded as the variation component of the rolling force caused by the roll
eccentricity. The average value ΔP
AVE_n is an average value of n values of the rolling force P
i0, P
i1, P
i2, P
i3...P
i(n-1).
[0087] This calculation method based on the average value is advantageous because collection
of actual values of each rolling force can be finished at the (n-1) division, and
because it is also resistant to the variation of the rolling force due to noise, etc.
It is noted that the actual value of the rolling force may be filtered to reduce noise
components, which is an additional effective measure.
[0088] FIG. 5 is a diagram for specifically explaining an extraction method of the rolling
force variation and an identification method of a roll eccentricity amount according
to the first embodiment, and device configuration thereof. With reference to FIG.
5, specific configuration and operation of the rolling force variation extracting
part 11 and the roll eccentricity amount identify part 12 will now be described. As
shown in FIG. 5, the rolling force variation extracting part 11 includes an upper
rolling force variation extracting part 111 and a lower rolling force variation extracting
part 112.
[0089] The upper rolling force variation extracting part 111 extracts each upper rolling
force variation value ΔP
T based on each rolling force P
T distributed by the rolling force vertical distribution part 10. Each upper rolling
force variation value ΔP
T is each value acquired by extracting each variation component in each rolling force
P
Tj caused by the roll eccentricity at each rotation position of the upper backup roll
4a. Each upper rolling force variation ΔP
T0, ΔP
T1... ΔP
Tn-1 is calculated for each rotation position of the upper backup roll 4a.
[0090] The lower rolling force variation extracting part 112 extracts each lower rolling
force variation ΔP
B based on each rolling force P
B distributed by the rolling force vertical distribution part 10. Each lower rolling
force variation value ΔP
B is each value acquired by extracting each variation component of each rolling force
P
Bj caused by the roll eccentricity at each rotation position of the lower backup roll
4b. Each lower rolling force variation ΔP
B0, ΔP
B1... ΔP
Bn-1 is calculated for each rotation position of the lower backup roll 4b.
[0091] Further, the upper rolling force variation extracting part 111 includes a rolling
force recording part 111a, average value calculating means 111b, and variation calculating
means 111c. Similarly, the lower rolling force variation extracting part 112 also
includes a rolling force recording part 112a, average value calculating means 112b,
and variation calculating means 112c.
[0092] Each of the rolling force recording parts 111a, 112a has rolling force recording
units provided corresponding to each rotation angle number of the backup rolls 4a,
4b, and the number of the rolling force recording units is "n". Each of the rolling
force recording parts 111a, 112a records for a predetermined period each rolling force
P
Tj, P
Bj when each angle of the backup rolls 4a, 4b reaches corresponding rotation angle number.
[0093] The average value calculation part 111b calculates the average value ΔP
AVE_Tn based on each rolling force P
Tj recorded in the rolling force recording part 111a. The average value ΔP
AVE_Tn is an average of n values of rolling force P
Tj detected during the upper backup roll 4a is rotated once (j=0 to (n-1)).
[0094] The average value calculation part 112b calculates the average value ΔP
AVE_Bn based on each rolling force P
Bj recorded in the rolling force recording part 112a. The average value ΔP
AVE_Bn is an average of n values of rolling force P
Bj detected during the lower backup roll 4b is rotated once (j=0 to (n-1)).
[0095] Each variation calculating means 111c is provided so as to correspond to each rolling
force recording part 111a in one-to-one manner. Each variation calculating means 111c
calculates and outputs each variation value ΔP
Tj every time the backup roll 4a is rotated once. Each variation value ΔP
Tj is a deviation amount of each rolling force P
Tj from the average value ΔP
AVE_Tn. Each rolling force P
Tj is recorded in one corresponding unit of the rolling force recording part 111a. Each
variation calculating means 112c in the lower rolling force variation extracting part
112 also outputs each variation value ΔP
Bj by performing the same operation process.
[0096] The roll eccentricity amount identify part 12 includes upper adding means 121 and
lower adding means 122.
[0097] The upper adding means 121 includes conversion blocks 121a, a limiter 121b, switches
121c, adders 121d, and a rotational speed correction block 121e. The upper addition
means 121 converts each variation component in each rolling force P
Tj outputted from the upper rolling force variation extracting part 111 due to roll
eccentricity into each roll gap equivalent value ΔS
Tj by each conversion block 121a. Each converted roll gap equivalent value ΔS
Tj goes through the limiter 121b and each switch 121c, and is independently accumulated
in each of a plurality of the adders 121d for each rotational angle number.
[0098] The lower adding means 122 includes conversion blocks 122a, a limiter 122b, switches
122c, adders 122d, and a rotational speed correction block 122e. The lower adding
means 122 converts each variation component in each rolling force P
Bj outputted from the lower rolling force variation extracting part 112 due to roll
eccentricity into each roll gap equivalent value ΔS
Bj. Each converted roll gap equivalent value ΔS
Bj goes through the limiter 122b and each switch 122c, and is independently accumulated
in each of a plurality of the adders 122d for each rotation angle number.
[0099] In FIG. 5, for distinction, a roll gap equivalent value inputted to the limiter 121b
is described as particularly ΔS
TjLM, and a roll gap equivalent value outputted from the limiter 121b is described as
ΔS
Tj. Similarly, a roll gap equivalent value inputted to the limiter 122b is described
as particularly ΔS
BjLM, and a roll gap equivalent value outputted from the limiter 122b is described as
ΔS
Bj. However, the limiters 121b, 122b may be omitted in a modification of the first embodiment,
and when these components are omitted, it is not necessary to distinguish the roll
gap equivalent values before and after the limiter.
[0100] Incidentally, the upper adding means 121 and the lower adding means 122 have the
same configuration. Therefore, the following description mainly refers to operation
of the upper adding means 121, and the description of the lower adding means 122 is
omitted or simplified as necessary.
[0101] In the upper adding means 121, first, the conversion block 121a corresponding to
the j
th rotation position converts the force variation value ΔP
Tj to the roll gap equivalent value ΔS
Tj. Calculation processing in the conversion block 121a can be achieved based on the
following equation (3). Load variation ΔP and roll gap equivalent ΔS in the equation
(3) are assumed to be ΔP
Tj and ΔS
Tj, respectively. In the equation (3), "M" is a mill constant, "Q" is a plastic coefficient
of the rolled material. These parameters are generally calculated in setting calculation
process before sheet passing of each rolled material.
[Expression 1]

[0102] Using the above equation (3), the reason for converting the rolling force variation
value ΔP to the roll gap equivalent value ΔS will now be described below. Different
steel grades may also cause different rolling force variation values. For example,
ΔP of hard steel grades is large, while ΔP of soft steel grades is small. It is assumed
that the normal roll eccentricity amount peak-to-peak value Δy
nor_peak is calculated based on values measured upon rolling a soft steel grade material after
roll replacement, and thereafter a large value of ΔP is detected upon rolling a hard
grade material. In this case, depending on setting of a threshold value, there is
a possibility that the roll is determined to be abnormal when performing rolling of
the hard grade material.
[0103] In this regard, since the roll gap equivalent value is used in the above equation
(3), a substantially constant value is calculated regardless of a soft material or
a hard material if a roll state is normal. Therefore, it is possible to accurately
determine whether or not the roll state is normal. Incidentally, the conversion block
122a of the lower adding means 122 calculates the ΔS
B by performing operation processing according to the equation (3) similarly to the
conversion block 121a.
[0104] The limiter 121b of the upper adding means 121 checks each of the upper and lower
limits of a plurality of roll gap equivalent values ΔS
Tj (j=0, 1,... n-1) inputted from the plurality of variation calculating means 111c.
The limiter 122b of the lower adding means 122 checks the respective upper and lower
limits of a plurality of roll gap equivalent values ΔS
Bj (j=0, 1,... n-1) similarly to the limiter 121b. Each of the limiter 121b and the
limiter 122b restricts each of the roll gap equivalent values ΔS
Tj and ΔS
Bj within a predetermined range. Incidentally, the limiters 121b, 122b are provided
to detect the abnormality of the roll. When upper and lower limit values are set to
have an excessive narrow width therebetween in each of the limiters 121b, 122b, abnormality
may not be detected. The width between the upper and lower limit values in each limiter
121b, 122b is preferably not set too narrow. These limiters 121b, 122b are provided
to avoid influence of steep and large noise. Here, the width between the upper and
lower limit values in each limiter 121b, 122b also referred to as a "limiter width",
for convenience. Hereinafter, an example of a setting method of the limiter width
will now be described. A coefficient "m" is used in determination process in step
S1403 in a flowchart of FIG. 6 described later. The coefficient m is a coefficient
for abnormal determination in step S1403 of FIG.6. The limiter width may be determined
in relation to the coefficient "m". A comparison determination value for abnormal
determination is acquired by multiplying the value of "m" by each value of the normal
roll eccentricity amount, the maximum roll eccentricity amount or the minimum roll
eccentricity amount. When m=2 is set as an example for abnormality determination,
it becomes meaningless to set a value smaller than at least the "twice" in the limiter.
Here, m=2 provides a value by multiplying by m times each of the normal roll eccentricity
amount and the maximum/minimum roll eccentricity amount. Therefore, it is preferable
that the normal roll eccentricity is measured or assumed in advance for the limiter,
and a value equals to or larger than the (2m) times value thereof may be set as the
upper and lower limit values. This can suppress that a limiter width becomes too narrow.
[0105] There are n unit switches SW
TI in the switches 121c, and each switch SW
TI corresponds to each rotational angle number in the upper backup roll 4a. Every time
the upper backup roll 4a is rotated once (i.e., each time the calculation of the average
value in the average value calculating part 111b is completed), each of n unit switches
in the switch 121c turns on in the order of the rotation angle numbers. Each switch
121c outputs each roll gap equivalent value ΔS
T0 ... ΔS
Tn-1 having passed through the limiter 121b to each adder 121d at the subsequent stage.
[0106] There are also n unit switches SW
BI in the switches 122c of the lower adding means 122, and each unit switch SW
BI corresponds to each rotation angle number of the lower backup roll 4b. Each switch
122c operates in the same manner as the switch 121c, the roll gap equivalent values
ΔS
B0 ...ΔSBn
-1, are outputted to the adders 122d of the subsequent stage.
[0107] There are n unit adders ∑
T0, ∑
T1... ∑
Tj... ∑
Tn-1 in the adders 121d, and each unit adder ∑
T0, ∑
T1,... ∑
Tj... ∑
Tn-1 is provided for each rotational angle number of the upper backup roll 4a. Each of
the n unit adders ∑
T0, ∑
T1... ∑
Tn-1 adds each of the roll gap equivalent values ΔS
T0 ...ΔSTn
-1 independently to calculate a plurality of accumulated values ΔS
ATj (j=0, 1... n-1).
[0108] When the upper backup roll 4a is rotated ten times as an example, the accumulated
value ΔS
AT0 in the unit adder ∑
T0 is an accumulated value acquired by summing ten values of the roll gap equivalent
value ΔS
T0, for example. Similarly thereto, in each adder 122d of the lower adding part 122,
each of the n unit adders ∑
B0, ∑
B1... ∑
Bj... ∑
Bn-1 accumulates each of the roll gap equivalent values ΔS
B0... ∑S
Bn-1 individually, and thereby a plurality of accumulated values ΔS
Bj (j=0, 1... n-1) are calculated.
[0109] Incidentally, when rolling process of one rolled material is completed, each of the
adders 121d, 122d may be zero-cleared.
[0110] The rotation amount correction block 121e has a correction function which prevents
the roll eccentricity amount from keeping accumulated. Since the first embodiment
does not have rolling force control operation based on the roll eccentricity amount
or the like, the roll eccentricity of the actual machine is not suppressed. The rotation
amount correction block 121e specifically divides each output value from each adder
121d by the roll rotation amount. The rotation amount correction block 121e outputs
this calculation result for n pieces of the roll division number.
[0111] The rotational speed correction block 121e executes correction calculation of each
output value from each adder 121d by a correction coefficient corresponding to the
roll rotation amount. The correction coefficient is preferably a variable value which
is set larger as the number of times the monitored roll is rotated becomes larger
in an accumulation period during which a plurality of accumulated values ΔS
ABj (j=0, 1,..., n-1) are accumulated. In the first embodiment, although the correction
coefficient is the same value as the number of times the monitored roll is rotated,
the correction coefficient may be set as a value other than this. As another example,
the correction coefficient may be set less or more than the number of times the monitored
roll is rotated. For example, the correction coefficient may be a value acquired by
subtracting or adding a predetermined value with respect to the number of times the
monitored roll is rotated. As further another example, the correction coefficient
may be calculated as a variable value directly proportional to rotation amount of
the monitored roll by multiplying a proportional coefficient being set in advance
by the number of times the monitored roll is rotated.
[0112] Incidentally, the rotation amount correction block 122e of the lower adding means
122 also executes the same correction operation as the rotation amount correction
block 121e. Each output value y
T0 ...y
Tn-1 from the rotation amount correction block 121e and each output value y
B0 ...y
Bn-1 from the rotation amount correction block 122e are the roll eccentricity amount acquired
by the identification calculation in the roll eccentricity amount identification part
12.
[0113] With the above-described mechanism, the upper adding means 121 in FIG. 5 outputs
each of the roll eccentricity amounts y
T0, ...y
Tn-1 about the upper backup roll 4a which is the monitored roll in the upper roll set.
The lower adding means 122 in FIG. 5 outputs each of the roll eccentricity amounts
y
B0, ...y
Bn-1 about the lower backup roll 4b which is the monitored roll in the lower roll set.
(Specifically processing for roll state determination)
[0114] Next, with reference to FIGs. 6 to 8, operation of the roll eccentricity amount recording
part 13 and the roll state determination part 14 will now be described. As shown in
FIG. 2, the roll eccentricity amount recording part 13 stores the roll eccentricity
amount y
Tj of the upper monitored roll (i.e., the upper backup roll 4a) and the roll eccentricity
amount y
Bj of the lower monitored roll (i.e., the lower backup roll 4b) transmitted from the
roll eccentricity amount identify part 12. The roll state determination part 14 executes
roll state determination based on data taken from the roll eccentricity amount recording
part 13, according to one of routine of FIG. 6 and routines FIGs. 7 and 8.
[0115] FIG. 6 is a flowchart for explaining a first roll state determination technique according
to the first embodiment. The routine of FIG. 6 is executed by the roll eccentricity
amount recording part 13 and the roll state determination part 14. FIG. 6 illustrates
a method to determine the abnormality of the roll state by the roll eccentricity amount
recording part 13 and the roll state determination part 14 after the processing in
FIG. 5 identifies the roll eccentricity amount of the rolled material.
[0116] The first embodiment provides a first determination method, a second determination
method, and a third determination method, as the first roll state determination technique.
The first determination method is a method for comparing the roll eccentricity amount
peak-to-peak value Δy
peak in each rolled material with the normal roll eccentricity amount peak-to-peak value
Δy
nor_peak. The second determination method is a method to compare the roll eccentricity maximum
value y
max in each rolled material with the normal roll eccentricity maximum value y
nor_max. The third determination method is a method to compare the roll eccentricity minimum
value y
min in each rolled material with the normal roll eccentricity minimum value y
nor_min.
[0117] Either one of the first determination method, the second determination method, and
the third determination method may be used. Alternatively, any two of those determination
methods may be combined, or all three methods may be used. Three values of the roll
eccentricity amount peak-to-peak value Δy
peak, the roll eccentricity amount maximum value y
max, and the roll eccentricity amount minimum value y
min are representative values calculated based on the roll eccentricity amounts y
Tj, y
Bj, and therefore these values may be regarded as having determination function equivalent
to each other.
[0118] In the routine of FIG. 6, first, the roll eccentricity amounts y
Tj, y
Bj are recorded (step S1301). Every time the rolling process of one rolled material
1 is completed, the roll eccentricity amounts y
T0, y
T1, ...y
Tn-1 and the roll eccentricity amounts y
B0, y
B1, ...y
Bn-1 identified by the roll eccentricity amount identify part 12 in FIG. 5 are recorded.
The recorded data is stored in a recording medium in the roll eccentricity amount
recording part 13 (step S1302).
[0119] Next, it is determined whether or not a predetermined time has elapsed, or whether
a predetermined number of the rolled material 1 is rolled (step S1303). The determination
in step S1303 may have only one of a time elapse condition and a condition of predetermined
number of rolling process. Alternatively, the determination result in step S1303 may
be affirmative when at least one of the time elapse condition and the condition of
the predetermined number of rolling process is satisfied. Alternatively, the determination
in step S1303 may include both of the time elapse condition and the condition of the
predetermined number of rolling process.
[0120] Processing in step S1303 is a determination processing for determining time elapse
of a "first rolling period". According to the first embodiment, the identification
value of the roll eccentricity amount acquired in the first rolling period is used
to evaluate validity of the roll eccentricity amount in a second rolling period after
the first rolling period.
[0121] Next, recorded data for each rolled material is read out (step S1401). In this step,
data type being read out is changed in accordance with contents of the following determination
process.
[0122] Next, the following calculation processing of (a1) to (a3) is performed based on
the data read in the above step S1401 (step S1402):
(a1) an average value of the roll eccentricity amount peak value Δypeak is calculated, and the calculated average value is set to be the normal roll eccentricity
amount peak-to-peak value Δynor_peak;
(a2) an average value of the roll eccentricity maximum value ymax is calculated, and the calculated average value is set to be the normal roll eccentricity
maximum value ynor_max; and
(a3) an average value of the roll eccentricity amount minimum value ymin is calculated, and the calculated average value is set to be the normal roll eccentricity
amount minimum value ynor_min.
[0123] Incidentally, each data processing of (a1) to (a3) described above may be preferably
executed for each monitored roll when there are a plurality of monitored rolls. In
the first embodiment, processing in step S1402 calculates each representative value
Δy
Tnor_peak, y
Tnor_max, y
Tnor_min for the roll eccentricity amount of the upper backup roll 4a based on the roll eccentricity
amounts y
T0, y
T1, ... y
Tn-1. On the other hand, the processing in step S1402 also calculates each representative
value Δy
Bnor_peak, y
Bnor_max, y
Bnor_min for the roll eccentricity amount of the lower backup roll 4a based on the roll eccentricity
amounts y
B0, y
B1, ...y
Bn-1.
[0124] Next, abnormality of each backup roll 4a, 4b as the monitored roll is determined
based on whether or not at least one condition of the following plurality of conditions
(b1) to (b3) is satisfied (step S1403), wherein the coefficient m may be set to 2
as an example:
(b1) the roll eccentricity amount peak-to-peak value Δypeak is greater than a value which is acquired by multiplying the normal roll eccentricity
amount peak-to-peak value Δynor_peak by the coefficient m;
(b2) the roll eccentricity maximum value ymax is greater than a value which is acquired by multiplying the normal roll eccentricity
maximum value ynor_max by the coefficient m; and
(b3) the roll eccentricity minimum value ymin is smaller than a value which is acquired by multiplying the normal roll eccentricity
minimum value ynor_min by the coefficient m.
[0125] Incidentally, roll state determination based on the above plural conditions (b1)
to (b3) may be preferably executed for each monitored roll when there are a plurality
of monitored rolls. In the first embodiment, a plurality of representative values
Δy
Tnor_peak, y
Tnor_max, y
Tnor_min calculated in step S1402 is used to determine the roll state of the upper backup
roll 4a. On the other hand, a plurality of representative values Δy
Bnor_peak, y
Bnor_max, y
Bnor_min calculated in step S1402 is used to determine the roll state of the lower backup
roll 4b.
[0126] As a modification, when two or more of the plural conditions (b1) to (b3) are satisfied,
the monitored roll may be determined to be abnormal. As a further modification, when
all of the plural conditions (b1) to (b3) are satisfied, the monitored roll may be
determined to be abnormal.
[0127] FIGs. 7 and 8 are flowcharts for explaining a second roll state determination technique
according to a modification of the first embodiment. The second roll state determination
technique illustrated in FIGs. 7 and 8 provides a technique in which the roll eccentricity
amount recording part 13 and the roll state determination part 14 perform an abnormality
determination of the roll state according to a method different from the first roll
state determination technique in FIG. 6.
[0128] Roll state determination based on a "statistical test method" is the second roll
state determination technique, which is a base of the routines of FIGs. 7 and 8. In
the first embodiment, as an example of the second roll state determination technique,
H (x) is calculated according to the following equation (1).
[Expression 2]

[0129] Parameters included in the right side of the equation (1) will now be described.
Here, as an example, the roll eccentricity peak-to-peak value Δy
peak is subjected to the statistical test method. Into a parameter "x", the roll eccentricity
amount peak-to-peak value Δy
peak acquired in the present rolling process is substituted. An average value is acquired
by averaging a plurality of the normal roll eccentricity amount peak-to-peak values
Δy
nor_peak acquired in the past, and the average value is substituted into a parameter x
N_AVE. Into a parameter σ
N, a standard deviation of the roll eccentricity peak-to-peak value Δy
peak is substituted. These parameters x
N_AVE and σ
N are calculated from data acquired in rolling processes of the plurality of rolled
material 1 in which the monitored roll is the same.
[0130] H(x) of equation (1) follows a chi-square distribution with a degree of freedom of
1.
This is called "Hotelling theory". That is, probability of occurrence is determined
by a value acquired when H(x) is substituted into an expression of the chi-squared
distribution with one degree of freedom.
[0131] The value of the chi-squared distribution is generally provided in a form of a number
table and thus the value may be taken from the number table, or the value may be calculated
by the following equation (2).
[Expression 3]

[0132] Here, k=1, y = H(x). A gamma function G is G(1/2) = √π.
[0133] When a data set X={x1, x2... xn} is given, a standard deviation σ of the data set
X can be calculated as follows. Where X
AVE is an average value of the data set X.
[Expression 4]

[0134] In the above, for example, when H(x) = 5.7 is acquired, a value of the chi-squared
distribution with degree of freedom 1 is 0.0097. When H(x)=5.7, probability of acquiring
x thereof is 0.97%, that is less than 1%. If H(x) becomes large, this is caused by
a large difference in x as compared with its average value in the past. In such a
case, since there has occurred an abnormal state in which occurrence probability is
very low, the roll state can be regarded as abnormal.
[0135] In general, a 5% significance level or a 1% significance level is used. Thus, it
is determined to be abnormal at the 5% significance level, or it is determined to
be abnormal at the 1% significance level.
[0136] Next, contents of specific control in FIGs.7 and 8 will now be described. The routine
of FIGs. 7 and 8 is executed by the roll eccentricity amount recording part 13 and
the roll state determination part 14.
[0137] Incidentally, step S1414 of FIG. 7 and steps S1415, S1416 of FIG. 8 are intended
to achieve the second roll state determination technique based on the above equation
(1) and the like. However, on the other hand, a third roll state determination technique
(step S1412, S1413) is also included in FIGs. 7 and 8. The third roll state determination
technique determines whether or not the roll state is normal based on a comparison
determination using a fixed value determined from data acquired in the past.
[0138] In the routine of FIG. 7, first, the roll eccentricity amount identified by the roll
eccentricity amount identification part 12 is recorded by the roll eccentricity amount
recording part 13 (step S1311). In this step, the roll eccentricity amount recording
part 13 records each of the roll eccentricity amounts y
T0, y
T1 ...y
Tn-1 and the roll eccentricity amounts y
B0, y
B1 ...y
Bn-1 each time rolling process of the rolled materials 1 is completed. The recorded data
is stored in the recording medium in the roll eccentricity amount recording part 13
(step S1312).
[0139] Next, it is determined whether a predetermined fixed threshold value is used as a
determination criterion (step S1411). Whether to use or not the fixed threshold value
in step S1411 is determined based on a state of a determination method flag which
is prepared in advance. If the determination method flag is 1, determination result
in step S1411 is affirmative (YES). If the determination method flag is 0, determination
result in step S1411 is negative (NO). The determination method flag is assumed to
be preset and to be capable of being changed afterward.
[0140] If the determination result in the step S1411 is affirmative (YES), processing proceeds
to step S1412 and step S1413 in FIG. 8, and the third roll state determination technique
described above is performed.
[0141] First, in step S1412, three types of threshold values in the following (c1) to (c3)
are read from the recording data in the roll eccentricity amount recording part 13.
These threshold values are fixed values which are set in advance by using data acquired
in the past rolling process or by using simulation data. These three types of threshold
values may be set independently for each of the upper monitored roll and the lower
monitored roll, or may be set to common values for both the upper and lower monitored
rolls.
(c1) A first threshold value Y
peak_th is defined for determining the roll eccentricity peak-to-peak value Δy
peak.
(c2) A second threshold value Y
max_th is defined for determining the roll eccentricity maximum value y
max.
(c3) A third threshold value Y
min_th is defined for determining the roll eccentricity minimum value y
min.
[0142] Next, in step S1413 of FIG. 8, it is determined whether or not each of the backup
rolls 4a, 4b of the monitored roll is abnormal based on whether or not at least one
of the following plural conditions (d1) to (d3) is satisfied:
(d1) the roll eccentricity peak-to-peak value Δypeak is larger than the first threshold value Ypeak_th;
(d2) the roll eccentricity maximum value ymax is larger than the second threshold value Ymax_th; and
(d3) the roll eccentricity minimum value ymin is smaller than the third threshold value Ymin_th.
[0143] Incidentally, roll state determination based on the above plural conditions (d1)
to (d3) may be preferably executed for each monitored roll when there are a plurality
of monitored rolls.
[0144] As a modification, the monitored roll may be determined to be abnormal when two
of the above plural conditions (d1) to (d3) are satisfied. Further, the monitored
roll may be determined to be abnormal when all of the plural conditions (d1) to (d3)
are satisfied.
[0145] If determination result in the step S1411 is negative (NO), processing proceeds to
step S1414 and steps S1415, S1416 in FIG. 8. Thereby, the second roll state determination
technique described above is performed.
[0146] First, in step S1414, calculation of each various parameter described in the following
(e1) to (e3) is performed:
(e1) the average value xN_AVE and the standard deviation σN for the roll eccentricity peak-to-peak values Δypeak;
(e2) the average value xN_AVE and the standard deviation σN for the roll eccentricity maximum values ymax; and
(e3) the average value xN_AVE and the standard deviation σN for the roll eccentricity minimum values ymin.
[0147] Next, in step S1415 of FIG. 8, it is determined whether or not each of the backup
rolls 4a, 4b of the monitored roll is abnormal based on whether or not at least one
of the following plural conditions (f1) to (f3) is satisfied. It should be noted that
a threshold value H
1 is predetermined. For example, H1=5.7 may be set to test at the 1% significance level.
(f1) H(x = Δy
peak) is larger than the threshold value H
1.
(f2)H(x=y
max) is larger than the threshold value H
1.
(f3)H(x = y
min) is larger than the threshold value H
1.
[0148] However, in the above conditions (f1) to (f3), H(x = Δy
peak) is acquired by substituting into the equation (1) the average value x
N_AVE and the standard deviation σ
N for the roll eccentricity peak-to-peak values Δy
peak. H(x = y
max) is acquired by substituting into the equation (1) the average value x
N_AVE and the standard deviation σ
N for the roll eccentricity maximum values y
max. H(x = y
min) is acquired by substituting into the equation (1) the mean value x
N_AVE and the standard deviation σ
N for the roll eccentricity minimum values y
min.
[0149] Incidentally, it is preferable that each monitored roll is subjected to calculation
processing of the above parameters (e1) to (e3) and roll state determination processing
based on the plural conditions (f1) to (f3), when there are a plurality of monitored
rolls. In the first embodiment, these processings are performed independently about
each of the upper backup roll 4a and the lower backup roll 4b.
[0150] That is, in the first embodiment, the roll state of the upper backup roll 4a is determined
in step S1415 by using the plurality of parameters calculated in step S1414 based
on the roll eccentricity amounts y
T0, y
T1, ...y
Tn-1. On the other hand, the roll state of the lower backup roll 4b is determined in step
S1415 by using the plurality of parameters calculated in step S1414 based on the roll
eccentricity amounts y
B0, y
B1, ...y
Bn-1.
[0151] As a modification, the monitored roll may be determined to be abnormal when two or
more of the plural conditions (f1) to (f3) are satisfied. Further, the monitored roll
may be determined to be abnormal when all of the plural conditions (f1) to (f3) are
satisfied.
[0152] In step S1416, the roll eccentricity amount recording part 13 stores calculation
data in step S1414 with a normal or abnormal identifier in the recording medium thereof
in accordance with the roll state determination result of normal or abnormal. Data
storing processing with the identifier in step S1416 may be preferably executed for
each monitored roll independently, when there are a plurality of monitored rolls.
In the first embodiment, the plural parameters (e1) to (e3) are calculated in step
S1414 for each of the upper backup roll 4a and the lower backup roll 4b independently,
and the parameters (e1) to (e3) are stored with the identifier indicating one of normal
and abnormal.
[0153] Incidentally, when the Hotelling theory is carried out in the above routine of FIG.
6, determination is executed based on a little number of data because the number of
data in the normal state is about 5 to 10. On the other hand, in the case of the routines
in FIGs. 7 and 8, a large number of past data are accumulated by the roll eccentricity
amount recording part 13, and this makes it possible to sufficiently acquire a large
amount of data to be compared. Hence, there are advantages that the Hotelling theory
can be easily applied to the abnormality determination of the routines in FIGs. 7
and 8.
[0154] FIG. 9 is a diagram for explaining transition of an actual roll eccentricity amount
according to the first embodiment. In the first embodiment, as an example, the roll
state determination part 14 is provided with displaying function to display the roll
eccentricity amount peak-to-peak value Δy
peak. As an example, the roll eccentricity amount peak-to-peak values Δy
peak for a plurality of the rolled materials 1 are acquired by going back in the past
from the rolled material 1 that has been most recently rolled, and these acquired
values are being displayed in FIG. 9. The roll eccentricity amount peak-to-peak value
Δy
peak is the difference between the maximum value and the minimum value of the roll eccentricity
amounts outputted from the roll eccentricity amount identify part 12.
[0155] A horizontal axis of FIG. 9 represents the number of the rolled material. The roll
state is normal in the first coil and the second coil in FIG. 9. In FIG. 9, it is
presumed that roll breakage may start around the third or fourth coils. In the example
of FIG. 9, an operator finds an abnormality at the tenth coil, and then stops the
rolling mill 50. When the roll has been extracted and checked, a damaged part of the
upper backup roll has been found at the drive side (DS). Occurrence of this damaged
part in the roll is consistent with increased eccentricity in the upper backup roll
4a in FIG. 9.
(First modification of the first embodiment)
[0156] A first modification of the embodiment will now be described. Although the backup
rolls 4a, 4b are monitored rolls in FIGs. 3, 4 and 5, the roll state monitor device
20 according to the first embodiment is not limited thereto. Each of the work rolls
3a, 3b may be a monitored roll. The monitored roll can be arbitrarily selected from
among a plurality of rolls included in the upper roll set and the lower roll set.
[0157] Incidentally, both the backup rolls 4a, 4b and the work rolls 3a, 3b may be independently
monitored. In this case, two roll state monitor devices 20 in FIG. 5 are provided.
This is because independent roll state determination by each roll state monitor device
20 are preferably performed since rotation speed of the backup rolls 4a, 4b is different
from that of the work rolls 3a, 3b.
(Second modification of the first embodiment)
[0158] FIG. 10 is a diagram illustrating a configuration of a roll state monitor device
20 according to a modification of the first embodiment. In FIG. 10, for convenience,
a block 10, a block 11, a block 12, a block 111, a block 112, a block 121, and a block
122 in FIG. 5 are simplified.
[0159] The roll state monitor device 20 according to the first embodiment uses one rolling
force value per one rolling stand when monitoring the backup rolls 4a, 4b, as in FIGs.
3, 4 and 5. However, in the rolling mill 50, each rolling force at two end positions
in the roll width direction may be measured individually for each rolling stand #1
to #7.
[0160] The two ends in the roll width direction are a drive side (DS: Drive Side) and an
operator side (OS: Operator Side). This is also illustrated in FIG. 1. In the second
modification, as shown in FIG. 10, drive-side rolling force detecting means 6ds and
operator-side rolling force detecting means 6os are respectively provided at two end
portions of the roll width direction.
[0161] In the second modification, two roll state monitor devices 20 are assigned for DS
rolling force detection and OS rolling force detection, respectively. The roll state
monitor device 20 for DS rolling force mainly monitors a roll state of the drive side
based on output signals from the drive-side rolling force detecting means 6ds. The
roll state monitor device 20 for OS rolling force mainly monitors a roll state of
the operator side based on output signals from the operator side rolling force detecting
means 6os.
[0162] Incidentally, abnormality occurring in a central portion in the roll width direction
is detected in both the drive side and the operator side in common. Therefore, there
may occur each of a first case in which an abnormality is detected only on the drive
side, a second case in which an abnormality is detected only on the operator side,
and a third case in which an abnormality is detected on both of the drive side and
the operator side. The second modification may roughly determine a position at which
abnormality has occurred in the roll width direction among the drive side, the operator
side, and the central portion by distinguishing the first case, the second case, and
the third case. Calculation capability will be preferably recognized since processing
amount in FIG.9 is about twice larger than that in FIG.5.
(Third modification of the first embodiment)
[0163] Although the roll state monitor device 20 according to the second modification monitors
the backup rolls 4a, 4b, a third modification thereof monitors the work rolls 3a,
3b. Incidentally, when each backup roll 4a, 4b and each work roll 3a, 3b are independently
monitored, there may be provided four of the roll state monitor devices 20 in FIG.
10 in total.
(Fourth modification of the first embodiment)
[0164] A fourth modification is a modification including the second modification and the
third modification of the roll state monitor device 2. In other words, each of the
backup rolls 4a, 4b and the work rolls 3a, 3b is set as the monitored roll, and each
roll state monitor function for the DS and the OS is independently provided. It is
sufficient to provide a total of four roll state monitor devices 20, since a pair
of the two devices in the right and left side in FIG. 10 is further required for the
work roll. This results in that processing amount in the computer is about four times
larger than that in the configuration of the first embodiment. As described above,
it may be sufficient to increase the number of roll state monitor devices 20 in accordance
with increasing the number of monitored rolls.
(Fifth modification of the first embodiment)
[0165] FIG. 11 is a diagram for specifically explaining a method of extracting rolling force
variation and of identifying a roll eccentricity amount according to a fifth modification
of the first embodiment, and a device configuration thereof. In the modification of
FIG. 11, the conversion blocks 121a, 122a are omitted from the configuration in FIG.
5. In this case, conversion into the roll gap equivalent values ΔS
Tj, ΔS
Bj is not performed, and the rolling force variation values ΔP
Tj, ΔP
Bj are transmitted to the limiters 121b, 122b. Each adder 121d, 122d also accumulates
each rolling force variation value ΔP corresponding to the plurality of roll rotation
position.
[0166] As described above, each conversion block 121a, 122b executes conversion into each
roll gap equivalent value ΔS
Tj, ΔS
Bj, and this makes it possible to suppress variation in calculation results caused by
the difference in characteristics (e.g. hardness of rolled material) of the rolled
material 1 rolled by the rolling mill 50. However, such preferred features are not
forced to be implemented, and therefore the conversion blocks 121a, 122b may be omitted.
This makes it possible to reduce a calculation load in the roll eccentricity amount
identify part 12.
Second Embodiment.
[0167] FIG. 12 is a diagram illustrating an example of a rolling mill 250 to which a roll
state monitor device 220 according to the second embodiment is applied. FIG. 13 is
a diagram for explaining the roll state monitor device 220 according to the second
embodiment and configuration of the upper roll set and the lower roll set
[0168] The second embodiment and the first embodiment are different with each other in that
the roll state monitor device 20 is replaced with the roll state monitor device 220.
As shown in FIG. 13, the roll state monitor device 220 includes a rolling force signal
processing part 210, a rolling force data processing part 211 and a roll state determination
part 212. Hereinafter, the same components as those in the first embodiment are denoted
by the same reference numerals, description thereof will be omitted, the following
description will be given with focus on the differences between the first embodiment
and the second embodiment.
[0169] FIG. 14 is a diagram for explaining a roll state determination technique according
to the second embodiment. In the second embodiment, the rolling force detecting means
6 detects the rolling force which the rolling mill 250 receives from the rolled material
1, similarly to the first embodiment. A load detection signal detected by the rolling
force detecting means 6 is also referred to as an "original signal".
[0170] In the second embodiment, signal processing and determination processing in the following
FIGs. 14 to 20 are performed based on the load detection signal detected by the rolling
force detecting means 6. The monitored roll in the second embodiment is a roll subjected
to rolling force corresponding to the load detection signal to which these signal
processing and determination processing are applied.
[0171] The monitored roll in the second embodiment can be arbitrarily selected in the same
manner as in the first embodiment. Although the rolling force vertical distribution
part 10 of the first embodiment is omitted in FIG. 13, when a value of the rolling
force is distributed by the rolling force vertical distribution part 10 to the upper
and lower rolls, at least one of the upper and lower rolls may be selected as the
monitored roll. The rolling force detecting means 6 may be configured to detect the
rolling force in DS and OS separately as in the fourth modification of the first embodiment
described above.
[0172] In an upper part of FIG. 14, a low-frequency component and a high-frequency component
contained in the original signal are schematically illustrated. Here, the original
signal is assumed to be a signal representing an absolute value of rolling force.
The detected original signal generally includes the low frequency component (i.e.
dashed line in the upper part of FIG. 14) exhibiting slow vibration and the high frequency
component (i.e. thin solid line in the upper part of FIG. 14) such as a noise.
[0173] The rolling force signal processing part 210 applies HPF (high-pass filter) to the
original signal. This extracts the high-frequency component by removing the low-frequency
component in the rolling force signal by a high-pass filter or the like, and the high-frequency
component in the rolling force can be set as a rolling force high-frequency signal
S
HF. A lower part of FIG. 14 schematically illustrates an example of the rolling force
high-frequency signal S
HF extracted by HPF. The diagram in the lower part of FIG. 14 is merely a schematic
diagram, and an actual waveform of the rolling force high-frequency signal S
HF may be different therefrom.
[0174] The rolling force data processing part 211 calculates a standard deviation σ of the
rolling force high-frequency signaling S
HF. The rolling force data processing part 211 calculates the difference "d" between
a probability density distribution of ±kσ and a normal distribution. A value of k
is 2 to 5, for example.
[0175] The rolling force data processing part 211 is provided with a vertical axis range
D which is sufficiently larger than amplitude of the rolling force high-frequency
signal S
HF. As shown in FIG. 14, the vertical axis range D is divided into n sections D
n which is set in advance. The rolling force data processing part 211 regards the rolling
force high-frequency signal S
HF as a set of data, and thereby counts the number of data contained in each section
D
n of the vertical axis range D.
[0176] The rolling force data processing part 211 divides the number of the data belonging
to each section by the total number of the data, and calculates probability in each
section. Such calculation is applied to all of the plurality of sections D
1, D
2, D
3 ...Dn, and this makes it possible to acquire a probability density distribution in
a lower right part of FIG. 14.
[0177] The longitudinal axis range D may be set to be about 4σ which is four times the standard
deviation σ in order to have sufficiently larger range than the amplitude of the rolling
force high-frequency signal S
HF. Thus, the almost every datum can be included in the vertical axis range. Data ranges
covered by the vertical axis range D according to σ are specifically defined such
that 2σ=95.4%, 3σ=99.7%, and 4σ=99.994%, etc.
[0178] FIG. 15 is a graph for explaining a probability density distribution according to
the second embodiment. FIG. 15 is an example of an actual probability density distribution.
FIG. 15 illustrates the probability density distribution of the actual data with a
solid line, and the actual data is the same data as the data used in the graph of
FIG. 9. The solid line data in FIG. 15 is data based on the rolling force detected
on the drive side of a damaged rolling stand. The solid line data in FIG. 15 is drawn
to show a probability density distribution acquired by the following manner: data
is detected in a first rolling process in FIG. 9; the detected data is subjected to
a high-pass filter to acquire the rolling force high-frequency signal S
HF; and the probability density distribution is acquired from the rolling force high-frequency
signal S
HF.
[0179] FIG. 16 is a graph illustrating a probability density distribution according to the
second embodiment. Unlike FIG. 15, the solid line data in FIG. 16 illustrates a probability
density distribution of the rolling force high-frequency signal S
HF extracted from the rolling force signal in the tenth rolling process in FIG. 9. Each
horizontal axis in FIGs. 15 and 16 is defined so as to have ±4σ of the tenth signal
in FIG. 5 and to have a common scale.
[0180] In FIGs. 15 and 16, a normal distribution for comparison is illustrated with broken-line
data. In FIG. 15, a dashed line graph showing a normal distribution overlaps with
a solid line graph showing actual data. When the monitored roll is in a normal state,
the probability density distribution acquired from the rolling force high-frequency
signaling S
HF is consistent with the normal distribution as shown in FIG. 15. In contrast, when
the monitored roll becomes an abnormal state, the probability density distribution
is clearly different from the normal distribution as shown in FIG. 16. Distinguishing
the above difference makes it possible to determine whether or not the monitored roll
is in an abnormal state.
[0181] The roll state determination part 212 may output the graph in FIG. 16 through a device
such as a display or the like so that an operator can directly see the graph. This
may cause a person to visually and clearly recognize abnormality. However, difference
between distribution shapes may be represented by a numerical value, and the roll
state determination part 212 may automatically output an abnormality determination
signal based on the numerical value. This may provide an objective and automatic notification
of occurrence of abnormality.
[0182] Each numerical index in the following equations (4) to (6) may be used, as an example,
in order to calculate the value "d" representing difference between the probability
density distribution and the normal distribution. The equation (4) is an equation
for determining a value D
KL of "Kullback-Leibler Divergence." The equation (5) is an equation for acquiring a
value D
SQ based on the error sum of squares. The equation 6 is an equation for acquiring a
value D
ABS based on the error absolute value sum.
[0183] The roll state determination part 212 may calculate the difference d between the
probability density distribution and the normal distribution based on at least one
equation in the three example equations (4) to (6). In other words, the difference
d may be any one of the values D
KL, D
SQ, D
ABS. If the difference d is equal to or larger than a predetermined determination value
which is set in advance, the roll state may be determined to be abnormal.
[Expression 5]

[Expression 6]

[Expression 7]

[0184] In the above equations, P
A(x) is an actual probability density taken by a datum x. In the second embodiment,
the datum x is a value of the rolling force high-frequency signal S
HF. P
N(x) is a normal distribution. In general, a high frequency signal can be nearly considered
as noise. The noise is white noise and can be regarded to be normally distributed.
However, when the rolling force signal contains some noise signal caused by abnormality,
a probability density distribution of the rolling force high frequency signal S
HF becomes clearly different from the normal distribution. Therefore, it is possible
to determine the abnormality in the roll state based on comparison between the probability
density distribution and the normal distribution.
[0185] FIG. 19 is a diagram for explaining Kullback-Leibler Divergence in the second embodiment.
FIG. 19 represents results acquired from the data acquired in the tenth rolling process
in FIG. 9. The probability density distribution is acquired for each rolling force
high-frequency signaling S
HF on each side of the drive side and the operator side in the plurality of rolling
stands, and then the Kullback-Leibler Divergence D
KL is plotted, which is an example of the difference d between the probability density
distribution and the normal distribution.
[0186] The greater the value D
KL of the Kullback-Leibler divergence is, the greater the difference between two compared
distributions is. Therefore, for example, the roll state may be determined to be abnormal
if the value D
KL is equal to or greater than a predetermined determination value D
KL_th which is set in advance. Similarly, the roll state may be determined to be abnormal
if the value D
SQ or D
ABS is equal to or greater than a predetermined determination value D
SQ_th or D
ABS_th which is set in advance.
[0187] The above values D
KL_th, D
SQ_th, D
ABS_th are also referred to as predetermined determination values d
th. The predetermined determination value d
th is a comparison determination value for evaluating the difference d. The predetermined
determination value d
th may be a fixed value determined in advance, or may be a variable value to be sequentially
updated. For example, the predetermined determination value d
th may be set to a fixed value, or may be sequentially updated set, based on the value
of the difference d calculated in at least one of previous rolling processes in which
the roll state has been normal. For example, it is assumed that the n-number of differences
d
p1, d
p2, d
p3 ...d
pn are calculated from the previous n rolling processes (p1, p2, p3... pn) in which
the roll state has been normal. For example, the predetermined determination value
d
th may be set based on an average value d
p_ave of the values d
p1 to d
pn. For example, the predetermined determination value d
th may be a value (k
d×d
p_ave) calculated by multiplying the average value d
p_ave by a predetermined coefficient k
d which is set in advance.
[0188] In FIG. 19, a result in the item number 1st is based on the rolling force high frequency
signal S
HF on the drive-side of the first stand #1. A result in the item number 2nd is based
on the rolling force high frequency signal S
HF on the operator side of the first stand #1. A result in the item number 3rd is based
on the rolling force high frequency signal S
HF on the drive-side of the second stand #2. Item numbers are assigned up to tenth in
this manner.
[0189] A result in item number tenth is based on the rolling force high-frequency signal
S
HF on the drive-side of the upper backup roll 4a in which crushing has been found. The
tenth result corresponds to the graph in FIG. 16 which has abnormality. The tenth
result indicates that the probability density distribution thereof is far from the
normal distribution because the value D
KL of the Kullback-Leibler Divergence is significantly larger than that of other item
numbers.
(First modification of the second embodiment)
[0190] FIG. 17 is a graph illustrating a probability density distribution according to a
first modification of the second embodiment. FIG. 17 illustrates an example in which
maximal values and minimal values in the rolling force high-frequency signal S
HF in the second embodiment are plotted graphically into two probability density distributions
separately.
[0191] FIG. 17 illustrates a probability density distribution of the maximal values, a probability
density distribution of the minimal values, and a Rayleigh distribution. When each
of the probability density distribution of the maximal values and the probability
density distribution of the minimal values is calculated from the signals in which
the roll state is normal, the each probability density distribution approaches the
Rayleigh distribution. On the other hand, when each of the probability density distribution
of the maximal values and the probability density distribution of the minimal values
is obtained when the roll state is abnormal, each probability density distribution
deviates from the Rayleigh distribution.
[0192] FIG. 18 is a graph illustrating the minimal value and the maximal value according
to the first modification of the second embodiment. FIG. 18 visually represents that
the rolling force high frequency signal S
HF includes a plurality of minimal values and a plurality of maximal values since each
of the minimal value and the maximal value occurs one by one each time a change from
one of decreasing and increasing to the other occurs in the high frequency signal
waveform.
(Second modification of the second embodiment)
[0193] As a second modification of the second embodiment, roll state determination may be
performed based on comparison between each test result for each rolling stand. The
"each test result for each rolling stand" may be each difference "d" calculated in
each rolling stand #1 to #7. Specifically, in this second modification, each difference
d may be calculated for each of the plurality of rolling stands #1 to #7 in the finishing
mill 57, and these plurality of differences d may be compared to each other. The difference
d in this second modification may be a difference from the normal distribution described
in FIGs. 15 and 16 as above, or may be a difference from the Rayleigh distribution
described in FIGs. 17 and 18.
[0194] That is, as shown in FIG. 13, each of the plurality of rolling stands #1 to #7 includes
the rolling force detecting means 6, and therefore the rolling force signal processor
210 can extract each rolling force high-frequency signal S
HF for each of the plurality of rolling stands #1 to #7 individually. In the second
modification, the rolling force data processor 211 may individually calculate each
difference d1 to d7 for each rolling stand #1 to #7 based on each rolling force high-frequency
signal S
HF acquired from each rolling stand #1 to #7. Each difference d is each test result
for each rolling stand acquired by the following manner: each rolling force detecting
means 6 in each stand outputs each rolling force signal; and then each rolling force
signal is subjected to the statistical test method described in FIGs. 14 to 19.
[0195] In the second modification, when a value of "i" is an arbitrary integer, the roll
state determining part 212 may compare a difference d
i in an i
th stand with a difference d
j in a j
th stand (although j≠i). However, any number different from "i" will be substituted
into "j", and the j
th stand generally represents each stand other than the i
th stand. As an example, the roll state determining part 212 may determine the monitored
roll in the i
th stand to be abnormal if the value of d
i is larger or smaller than a value of multiplying a "representative value of the plural
values d
j" by a predetermined coefficient. The predetermined coefficient may be a value such
as 3, for example. The representative value of the plural values d
j may be an average value of the plural values d
j. For example, since j=2 to 7 when i=1, the representative value of the plural values
d
j may be an average value of d
2, d
3, ··· d
7.
[0196] FIG. 20 is a diagram illustrating an example of a hardware configuration of the roll
state monitor devices 20 and 220 according to the first and second embodiments. Various
control operations, calculation processing and determination processing described
in the first and second embodiments may be implemented in the hardware configuration
described below.
[0197] The function in the roll state monitor devices 20 and 220 is implemented by processing
circuitry. The processing circuitry may be a dedicated hardware 350. Alternatively,
the processing circuitry may include a processor 351 and a memory 352. The processing
circuitry may be partially formed of the dedicated hardware 350 and may further includes
the processor 351 and the memory 352. FIG. 20 illustrates an example in which the
processing circuitry is partially formed of the dedicated hardware 350 and includes
the processor 351 and the memory 352.
[0198] If at least a portion of the processing circuitry is at least one dedicated hardware
350, the processing circuitry may include, for example, a single circuit, a composite
circuit, a programmed processor, a parallel programmed processor, an ASIC, an FPGA,
or combinations thereof.
[0199] If the processing circuitry includes at least one processor 351 and at least one
memory 352, each function in the roll state monitor devices 20, 220 is implemented
by software, firmware, or a combination of software and firmware. The software and
the firmware are formed as programs and stored in the memory 352. The processor 351
achieves the function of each part by reading and executing the program stored in
the memory 352. The processor 351 is also referred to as a CPU (Central Processing
Unit), a central processing unit, a processing unit, an arithmetic unit, a microprocessor,
a microcomputer, or a DSP. The memory 352 includes, for example, nonvolatile or volatile
semiconductor memories such as RAMs, ROMs, flash memories, EPROMs, EEPROMs, and the
like.
[0200] In this manner, the processing circuitry can achieve the function in the roll state
monitor devices 20, 220 by hardware, software, firmware, or a combination thereof.
[Reference Signs List]
[0201]
- 1
- Rolled material
- 2
- Rolling mill housing
- 3a
- Work roll (upper work roll)
- 3b
- Work roll (lower work roll)
- 4a
- Backup roll (upper backup roll)
- 4b
- Work roll (lower backup roll)
- 4c
- Reference position
- 5
- Screw down means
- 6
- Rolling force detecting means
- 6ds
- drive-side rolling force detecting means
- 6os
- operator-side rolling force detecting means
- 7
- Roll rotation amount detector
- 8
- Roll reference position detector
- 9
- Roll gap detector
- 10
- Rolling force vertical distribution part
- 11
- Rolling force variation extraction part
- 12
- Roll eccentricity amount identify part
- 13
- Roll eccentricity amount recording part
- 14
- Roll state determination part
- 14a
- reference position
- 15
- Position scale
- 15a
- reference position
- 20,220
- Roll state monitor device
- 50,250
- Rolling mill
- 51
- Slab
- 52
- Heating furnace
- 53
- Roughing mill
- 54
- Bar heater
- 55
- Bar
- 56
- Entry pyrometer
- 57
- Finishing rolling mill
- 58
- Strip thickness/width gauge
- 59
- Delivery pyrometer
- 60
- Pyrometer
- 61
- Coiler
- 62
- Product coil
- 63
- Run-out table
- 111
- Upper rolling force variation extracting part
- 112
- Lower rolling force variation extracting part
- 111a, 112a
- rolling force recording unit
- 111b, 112b
- average value calculating means
- 111c, 112c
- variation calculating means
- 121
- Upper adding means
- 122
- Lower adding means
- 121a, 122a
- Conversion block
- 121b, 122b
- Limiter
- 121c, 122c
- Switch
- 121d, 122d
- Adder
- 121e, 122e
- Rotation amount correction block
- 210
- Rolling force signal processing part
- 211
- Rolling force data processing part
- 212
- Roll state determination part
- 350
- Dedicated hardware
- 351
- Processor
- 352
- Memory
- OS
- operator side
- DS
- drive side
- RD
- Rolling direction
- n
- Number of roll divisions
- P
- Rolling force
- yTj, yT0, yT1, yTn-1, yBj, yB0, yB1, yBn-1
- Roll eccentricity amount
- ΔP
- Rolling force variation value
- ΔS, ΔSTj, ΔSBj
- Roll gap equivalent value
- Δypeak
- Roll eccentricity peak-to-peak value
- Δynor_peak
- Normal roll eccentricity peak-to-peak value
- SHF
- Rolling force high-frequency signal
- D
- Vertical axis range
- Dn
- Section
[0202] This application is a divisional application of
European patent application no. 19 863 985.8 (the "parent application"), also published under no.
EP 3 812 058. The following items corresponding to the originally filed claims of the parent application
form part of the content of this description as filed.
Items
[0203]
[Item 1]
A roll state monitor device comprising:
rolling force detecting means configured to detect rolling force of a monitored roll
selected from an upper roll set and a lower roll set when a rolled material is rolled
between the upper roll set and the lower roll set, the upper roll set having at least
one roll and the lower roll set having at least one roll;
force variation value extracting means configured to extract a rolling force variation
value based on the rolling force for each rotation position of the monitored roll;
and
identification means configured to identify a roll eccentricity amount of the monitored
roll by acquiring a plurality of accumulated values by accumulating separately for
each rotation position of the monitored roll a value which is one of the rolling force
variation value and a roll gap equivalent value calculated based on the rolling force
variation value, and by dividing each of the plurality of accumulated values by a
correction coefficient corresponding to a roll rotation amount which is number of
times the monitored roll is rotated in an accumulation period in which the plurality
of accumulated values are acquired.
[Item 2]
The roll state monitor device according to item 1,
wherein the identification means is configured to convert the rolling force variation
value into the roll gap equivalent value by using a force roll gap conversion equation
including a plastic coefficient of the rolled material.
[Item 3]
The roll state monitor device according to item 1,
wherein the monitored roll has a first side end portion and a second side end portion
opposite to the first side end portion,
wherein the rolling force detecting means is configured to detect first side rolling
force of the first side end portion while detecting second side rolling force of the
second side end portion,
wherein the force variation value extracting means is configured to extract each of
a first side rolling force variation value and a second side rolling force variation
value, the first side rolling force variation value is a value of the first side rolling
force for each rotation position of the monitored roll, and the second side rolling
force variation value is a value of the second side rolling force for each rotation
position of the monitored roll, and
wherein the identification means is configured to acquire the plurality of accumulated
values corresponding to the plurality of rotation positions based on the first side
rolling force variation value and the second side rolling force variation value with
respect to each of the first side end portion and the second side end portion separately,
and to identify each roll eccentricity amount of the first side end portion
and the second side end portion.
[Item 4]
The roll state monitor device according to item 1, further comprising roll state determining
means to determine a state of the monitored roll by collating the roll eccentricity
amount calculated by the identification means to a determination criterion.
[Item 5] A roll state monitor device comprising:
rolling force detecting means configured to detect rolling force of a monitored roll
selected from an upper roll set and a lower roll set when a rolled material is rolled
between the upper roll set and the lower roll set, the upper roll set having at least
one roll and the lower roll set having at least one roll; force variation value extracting
means configured to extract a rolling force variation value which is a value of each
rolling force for each rotation position of the monitored roll;
identification means configured to identify a roll eccentricity amount based on the
rolling force variation value;
recording means recording a plurality of roll eccentricity amounts calculated from
the identification means in accordance with a plurality of rotation positions of the
monitored roll in a first rolling period which is determined in advance; and roll
state determining means determining a state of the monitored roll in a second rolling
period which is after the first rolling period, based on a normal roll eccentricity
amount representative value which is a representative value calculated from the plurality
of the roll eccentricity amounts calculated by the identification means in the first
rolling period, and based on the roll eccentricity amount calculated by the identification
means in the second rolling period.
[Item 6]
The roll state monitor device according to item 5,
wherein the roll state determining means is configured to determine the state of the
monitored roll by comparing another representative value of the roll eccentricity
amount acquired in the second rolling period with a multiplied value acquired by multiplying
the normal roll eccentricity amount representative value by a predetermined coefficient,
and
wherein the other representative value is the same type of numerical value as the
representative value calculated from the plurality of the roll eccentricity amounts
calculated by the identification means in the second rolling period.
[Item 7]
The roll state monitor device according to item 5,
wherein the roll state determining means is configured to determine the state of the
monitored roll based on a test result of a statistical test method for a plurality
of the roll eccentricity amounts.
[Item 8]
A roll state monitor device comprising:
rolling force detecting means configured to detect a rolling force signal of a monitored
roll selected from an upper roll set and a lower roll set when a rolled material is
rolled between the upper roll set and the lower roll set, the upper roll set having
at least one roll and the lower roll set having at least one roll;
signal extracting means extracting from the rolling force signal a rolling force high
frequency signal having a frequency equal to or larger than a predetermined frequency
which is set in advance; and
roll state determining means configured to determine a state of the monitored roll
based on a test result of a statistical test method for a plurality of rolling force
values included in the rolling force high frequency signal.
[Item 9]
The roll state monitor device according to item 8,
wherein the roll state determining means calculates a rolling force value probability
density distribution based on the plurality of rolling force values, and
wherein the roll state determining means is configured to determine the state of the
monitored roll based on comparison between the rolling force value probability density
distribution and a reference distribution which is set in advance.
[Item 10]
The roll state monitor device according to item 9,
wherein the roll state determining means includes normal distribution roll state determining
means, and
wherein the normal distribution roll state determining means is configured to calculate
a probability density distribution of the plurality of rolling force
values as the rolling force value probability density distribution, and use a normal
distribution as the reference distribution.
[Item 11]
The roll state monitor device according to item 9,
wherein the roll state determining means includes Rayleigh distribution roll state
determining means, and
wherein the Rayleigh distribution roll state determining means is configured to
calculate, as the rolling force value probability density distribution, a maximal-minimal
probability density distribution which includes each probability density distribution
of a plurality of rolling force maximal values and a plurality of rolling force minimal
values included in the rolling force high frequency signal, and
use a Rayleigh distribution as the reference distribution.
[Item 12]
The roll state monitor device according to item 8,
wherein the monitored roll has a first side end portion and a second side end portion
opposite to the first side end portion,
wherein the rolling force detecting means is configured to detect a first side rolling
force signal from a first rolling force sensor provided on the first side end portion
and to detect a second side rolling force signal from a second rolling force sensor
provided on the second side end portion,
wherein the signal extracting means extracts each rolling force high frequency signal
having a frequency equal to or larger than the predetermined frequency from the first
side rolling force signal and the second side rolling force signal, and
wherein the roll state determining means is configured to determine each state of
the first side end portion and the second side end portion of the monitored roll based
on the test result of the statistical test method for each rolling force high frequency
signal extracted by the signal extracting means.
[Item 13]
The roll state monitor device according to item 8,
wherein the upper roll set includes a plurality of upper roll sets which constitutes
a plurality of rolling stands,
wherein the lower roll set includes a plurality of lower roll sets which constitutes
the plurality of rolling stands together with each of the plurality of upper roll
sets,
wherein the rolling force detecting means acquires a plurality of rolling force signals
from each rolling force sensor provided with each of the plurality of rolling stands,
wherein the signal extracting means extracts from each of the plurality of rolling
force signals a plurality of rolling force high frequency signals each having a frequency
equal to or larger than the predetermined frequency, and
wherein the roll state determining means is configured to
acquire each test result for each rolling stand corresponding to the plurality of
rolling stands as the test result of the statistical test method for the plurality
of rolling force values included in each of the plurality of rolling force high frequency
signals, and
determine the state of the monitored roll based on each test result for each rolling
stand.